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Finding the Fourth Proportional to 9,161.64, 12,643.56 and 5,385.96

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Solution

The fourth proportional to 9,161.64, 12,643.56 and 5,385.96 is: 7,432.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,161.64 : 12,643.56 = 5,385.96 : x
  2. Step 2: Convert to fraction form
    9,161.64/12,643.56 = 5,385.96/x
  3. Step 3: Cross multiply
    9,161.64x = 12,643.56 × 5,385.96
  4. Step 4: Simplify right side
    9,161.64x = 68,097,708.42
  5. Step 5: Solve for x
    x = 68,097,708.42/9,161.64
  6. Step 6: Final answer
    x = 7,432.92

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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.