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Finding the Fourth Proportional to 6,457,973.76, 9,672,030.72 and 6,234,024.96

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Solution

The fourth proportional to 6,457,973.76, 9,672,030.72 and 6,234,024.96 is: 9,336,625.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457,973.76 : 9,672,030.72 = 6,234,024.96 : x
  2. Step 2: Convert to fraction form
    6,457,973.76/9,672,030.72 = 6,234,024.96/x
  3. Step 3: Cross multiply
    6,457,973.76x = 9,672,030.72 × 6,234,024.96
  4. Step 4: Simplify right side
    6,457,973.76x = 60,295,680,922,366.77
  5. Step 5: Solve for x
    x = 60,295,680,922,366.77/6,457,973.76
  6. Step 6: Final answer
    x = 9,336,625.26

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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.