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Finding the Fourth Proportional to 10,807.29, 14,884.25 and 9,314.66

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Solution

The fourth proportional to 10,807.29, 14,884.25 and 9,314.66 is: 12,828.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,807.29 : 14,884.25 = 9,314.66 : x
  2. Step 2: Convert to fraction form
    10,807.29/14,884.25 = 9,314.66/x
  3. Step 3: Cross multiply
    10,807.29x = 14,884.25 × 9,314.66
  4. Step 4: Simplify right side
    10,807.29x = 138,641,607.11
  5. Step 5: Solve for x
    x = 138,641,607.11/10,807.29
  6. Step 6: Final answer
    x = 12,828.53

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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.