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Finding the Fourth Proportional to 6,468.96, 8,925.68 and 3,815.76

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Solution

The fourth proportional to 6,468.96, 8,925.68 and 3,815.76 is: 5,264.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.96 : 8,925.68 = 3,815.76 : x
  2. Step 2: Convert to fraction form
    6,468.96/8,925.68 = 3,815.76/x
  3. Step 3: Cross multiply
    6,468.96x = 8,925.68 × 3,815.76
  4. Step 4: Simplify right side
    6,468.96x = 34,058,252.72
  5. Step 5: Solve for x
    x = 34,058,252.72/6,468.96
  6. Step 6: Final answer
    x = 5,264.87

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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.