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Finding the Fourth Proportional to 6,417.74, 9,626.58 and 5,127.41

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Solution

The fourth proportional to 6,417.74, 9,626.58 and 5,127.41 is: 7,691.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,417.74 : 9,626.58 = 5,127.41 : x
  2. Step 2: Convert to fraction form
    6,417.74/9,626.58 = 5,127.41/x
  3. Step 3: Cross multiply
    6,417.74x = 9,626.58 × 5,127.41
  4. Step 4: Simplify right side
    6,417.74x = 49,359,374.42
  5. Step 5: Solve for x
    x = 49,359,374.42/6,417.74
  6. Step 6: Final answer
    x = 7,691.09

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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.