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Finding the Fourth Proportional to 9,991,537.76, 13,788,655.80 and 6,123,311.48

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Solution

The fourth proportional to 9,991,537.76, 13,788,655.80 and 6,123,311.48 is: 8,450,374.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,991,537.76 : 13,788,655.80 = 6,123,311.48 : x
  2. Step 2: Convert to fraction form
    9,991,537.76/13,788,655.80 = 6,123,311.48/x
  3. Step 3: Cross multiply
    9,991,537.76x = 13,788,655.80 × 6,123,311.48
  4. Step 4: Simplify right side
    9,991,537.76x = 84,432,234,353,908.59
  5. Step 5: Solve for x
    x = 84,432,234,353,908.59/9,991,537.76
  6. Step 6: Final answer
    x = 8,450,374.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.