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Finding the Fourth Proportional to 6,714.74, 9,265.88 and 3,730.42

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Solution

The fourth proportional to 6,714.74, 9,265.88 and 3,730.42 is: 5,147.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.74 : 9,265.88 = 3,730.42 : x
  2. Step 2: Convert to fraction form
    6,714.74/9,265.88 = 3,730.42/x
  3. Step 3: Cross multiply
    6,714.74x = 9,265.88 × 3,730.42
  4. Step 4: Simplify right side
    6,714.74x = 34,565,624.07
  5. Step 5: Solve for x
    x = 34,565,624.07/6,714.74
  6. Step 6: Final answer
    x = 5,147.72

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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.