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Finding the Fourth Proportional to 9,374.39, 12,939.54 and 5,398.16

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Solution

The fourth proportional to 9,374.39, 12,939.54 and 5,398.16 is: 7,451.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,374.39 : 12,939.54 = 5,398.16 : x
  2. Step 2: Convert to fraction form
    9,374.39/12,939.54 = 5,398.16/x
  3. Step 3: Cross multiply
    9,374.39x = 12,939.54 × 5,398.16
  4. Step 4: Simplify right side
    9,374.39x = 69,849,642.55
  5. Step 5: Solve for x
    x = 69,849,642.55/9,374.39
  6. Step 6: Final answer
    x = 7,451.12

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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.