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Finding the Fourth Proportional to 9,686.73, 13,366.92 and 5,437.20

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Solution

The fourth proportional to 9,686.73, 13,366.92 and 5,437.20 is: 7,502.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.73 : 13,366.92 = 5,437.20 : x
  2. Step 2: Convert to fraction form
    9,686.73/13,366.92 = 5,437.20/x
  3. Step 3: Cross multiply
    9,686.73x = 13,366.92 × 5,437.20
  4. Step 4: Simplify right side
    9,686.73x = 72,678,617.42
  5. Step 5: Solve for x
    x = 72,678,617.42/9,686.73
  6. Step 6: Final answer
    x = 7,502.91

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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.