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Finding the Fourth Proportional to 10,569.50, 14,547.07 and 9,060.47

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Solution

The fourth proportional to 10,569.50, 14,547.07 and 9,060.47 is: 12,470.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,569.50 : 14,547.07 = 9,060.47 : x
  2. Step 2: Convert to fraction form
    10,569.50/14,547.07 = 9,060.47/x
  3. Step 3: Cross multiply
    10,569.50x = 14,547.07 × 9,060.47
  4. Step 4: Simplify right side
    10,569.50x = 131,803,284.46
  5. Step 5: Solve for x
    x = 131,803,284.46/10,569.50
  6. Step 6: Final answer
    x = 12,470.15

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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.