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Finding the Fourth Proportional to 25,128.70, 37,691.99 and 6,409.20

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Solution

The fourth proportional to 25,128.70, 37,691.99 and 6,409.20 is: 9,613.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,128.70 : 37,691.99 = 6,409.20 : x
  2. Step 2: Convert to fraction form
    25,128.70/37,691.99 = 6,409.20/x
  3. Step 3: Cross multiply
    25,128.70x = 37,691.99 × 6,409.20
  4. Step 4: Simplify right side
    25,128.70x = 241,575,502.31
  5. Step 5: Solve for x
    x = 241,575,502.31/25,128.70
  6. Step 6: Final answer
    x = 9,613.53

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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.