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Finding the Fourth Proportional to 6,458.14, 9,687 and 1,841.14

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Solution

The fourth proportional to 6,458.14, 9,687 and 1,841.14 is: 2,761.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.14 : 9,687 = 1,841.14 : x
  2. Step 2: Convert to fraction form
    6,458.14/9,687 = 1,841.14/x
  3. Step 3: Cross multiply
    6,458.14x = 9,687 × 1,841.14
  4. Step 4: Simplify right side
    6,458.14x = 17,835,123.18
  5. Step 5: Solve for x
    x = 17,835,123.18/6,458.14
  6. Step 6: Final answer
    x = 2,761.65

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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.