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Finding the Fourth Proportional to 8,292.64, 12,438.96 and 6,322.72

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Solution

The fourth proportional to 8,292.64, 12,438.96 and 6,322.72 is: 9,484.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,292.64 : 12,438.96 = 6,322.72 : x
  2. Step 2: Convert to fraction form
    8,292.64/12,438.96 = 6,322.72/x
  3. Step 3: Cross multiply
    8,292.64x = 12,438.96 × 6,322.72
  4. Step 4: Simplify right side
    8,292.64x = 78,648,061.17
  5. Step 5: Solve for x
    x = 78,648,061.17/8,292.64
  6. Step 6: Final answer
    x = 9,484.08

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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.