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Finding the Fourth Proportional to 6,468.34, 8,925.96 and 3,815.86

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Solution

The fourth proportional to 6,468.34, 8,925.96 and 3,815.86 is: 5,265.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.34 : 8,925.96 = 3,815.86 : x
  2. Step 2: Convert to fraction form
    6,468.34/8,925.96 = 3,815.86/x
  3. Step 3: Cross multiply
    6,468.34x = 8,925.96 × 3,815.86
  4. Step 4: Simplify right side
    6,468.34x = 34,060,213.73
  5. Step 5: Solve for x
    x = 34,060,213.73/6,468.34
  6. Step 6: Final answer
    x = 5,265.68

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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.