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Finding the Fourth Proportional to 9,193.77, 13,795.90 and 7,652.43

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Solution

The fourth proportional to 9,193.77, 13,795.90 and 7,652.43 is: 11,483.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.77 : 13,795.90 = 7,652.43 : x
  2. Step 2: Convert to fraction form
    9,193.77/13,795.90 = 7,652.43/x
  3. Step 3: Cross multiply
    9,193.77x = 13,795.90 × 7,652.43
  4. Step 4: Simplify right side
    9,193.77x = 105,572,139.91
  5. Step 5: Solve for x
    x = 105,572,139.91/9,193.77
  6. Step 6: Final answer
    x = 11,483.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.