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Finding the Fourth Proportional to 8,643.20, 11,944.32 and 6,543.68

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Solution

The fourth proportional to 8,643.20, 11,944.32 and 6,543.68 is: 9,042.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,643.20 : 11,944.32 = 6,543.68 : x
  2. Step 2: Convert to fraction form
    8,643.20/11,944.32 = 6,543.68/x
  3. Step 3: Cross multiply
    8,643.20x = 11,944.32 × 6,543.68
  4. Step 4: Simplify right side
    8,643.20x = 78,159,807.90
  5. Step 5: Solve for x
    x = 78,159,807.90/8,643.20
  6. Step 6: Final answer
    x = 9,042.92

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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.