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Finding the Fourth Proportional to 9,377.64, 12,942 and 5,398.92

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Solution

The fourth proportional to 9,377.64, 12,942 and 5,398.92 is: 7,451.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,377.64 : 12,942 = 5,398.92 : x
  2. Step 2: Convert to fraction form
    9,377.64/12,942 = 5,398.92/x
  3. Step 3: Cross multiply
    9,377.64x = 12,942 × 5,398.92
  4. Step 4: Simplify right side
    9,377.64x = 69,872,822.64
  5. Step 5: Solve for x
    x = 69,872,822.64/9,377.64
  6. Step 6: Final answer
    x = 7,451.00

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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.