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Finding the Fourth Proportional to 6,008.64, 9,006.88 and 2,884.08

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Solution

The fourth proportional to 6,008.64, 9,006.88 and 2,884.08 is: 4,323.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,008.64 : 9,006.88 = 2,884.08 : x
  2. Step 2: Convert to fraction form
    6,008.64/9,006.88 = 2,884.08/x
  3. Step 3: Cross multiply
    6,008.64x = 9,006.88 × 2,884.08
  4. Step 4: Simplify right side
    6,008.64x = 25,976,562.47
  5. Step 5: Solve for x
    x = 25,976,562.47/6,008.64
  6. Step 6: Final answer
    x = 4,323.20

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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.