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Finding the Fourth Proportional to 6,265.14, 9,397.77 and 1,648.14

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Solution

The fourth proportional to 6,265.14, 9,397.77 and 1,648.14 is: 2,472.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,265.14 : 9,397.77 = 1,648.14 : x
  2. Step 2: Convert to fraction form
    6,265.14/9,397.77 = 1,648.14/x
  3. Step 3: Cross multiply
    6,265.14x = 9,397.77 × 1,648.14
  4. Step 4: Simplify right side
    6,265.14x = 15,488,840.65
  5. Step 5: Solve for x
    x = 15,488,840.65/6,265.14
  6. Step 6: Final answer
    x = 2,472.23

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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.