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Finding the Fourth Proportional to 10,686.94, 14,752.09 and 9,565.90

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Solution

The fourth proportional to 10,686.94, 14,752.09 and 9,565.90 is: 13,204.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,686.94 : 14,752.09 = 9,565.90 : x
  2. Step 2: Convert to fraction form
    10,686.94/14,752.09 = 9,565.90/x
  3. Step 3: Cross multiply
    10,686.94x = 14,752.09 × 9,565.90
  4. Step 4: Simplify right side
    10,686.94x = 141,116,943.97
  5. Step 5: Solve for x
    x = 141,116,943.97/10,686.94
  6. Step 6: Final answer
    x = 13,204.62

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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.