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Finding the Fourth Proportional to 25,117.72, 37,677.14 and 6,397.68

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Solution

The fourth proportional to 25,117.72, 37,677.14 and 6,397.68 is: 9,596.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,117.72 : 37,677.14 = 6,397.68 : x
  2. Step 2: Convert to fraction form
    25,117.72/37,677.14 = 6,397.68/x
  3. Step 3: Cross multiply
    25,117.72x = 37,677.14 × 6,397.68
  4. Step 4: Simplify right side
    25,117.72x = 241,046,285.04
  5. Step 5: Solve for x
    x = 241,046,285.04/25,117.72
  6. Step 6: Final answer
    x = 9,596.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.