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Finding the Fourth Proportional to 10,437.48, 14,399.64 and 9,111.24

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Solution

The fourth proportional to 10,437.48, 14,399.64 and 9,111.24 is: 12,569.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,437.48 : 14,399.64 = 9,111.24 : x
  2. Step 2: Convert to fraction form
    10,437.48/14,399.64 = 9,111.24/x
  3. Step 3: Cross multiply
    10,437.48x = 14,399.64 × 9,111.24
  4. Step 4: Simplify right side
    10,437.48x = 131,198,575.95
  5. Step 5: Solve for x
    x = 131,198,575.95/10,437.48
  6. Step 6: Final answer
    x = 12,569.95

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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.