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Finding the Fourth Proportional to 10,006.92, 13,809.36 and 6,470.04

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Solution

The fourth proportional to 10,006.92, 13,809.36 and 6,470.04 is: 8,928.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006.92 : 13,809.36 = 6,470.04 : x
  2. Step 2: Convert to fraction form
    10,006.92/13,809.36 = 6,470.04/x
  3. Step 3: Cross multiply
    10,006.92x = 13,809.36 × 6,470.04
  4. Step 4: Simplify right side
    10,006.92x = 89,347,111.57
  5. Step 5: Solve for x
    x = 89,347,111.57/10,006.92
  6. Step 6: Final answer
    x = 8,928.53

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