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Finding the Fourth Proportional to 6,458.14, 9,675.52 and 5,424.78

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Solution

The fourth proportional to 6,458.14, 9,675.52 and 5,424.78 is: 8,127.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.14 : 9,675.52 = 5,424.78 : x
  2. Step 2: Convert to fraction form
    6,458.14/9,675.52 = 5,424.78/x
  3. Step 3: Cross multiply
    6,458.14x = 9,675.52 × 5,424.78
  4. Step 4: Simplify right side
    6,458.14x = 52,487,590.11
  5. Step 5: Solve for x
    x = 52,487,590.11/6,458.14
  6. Step 6: Final answer
    x = 8,127.35

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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.