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Finding the Fourth Proportional to 6,602.68, 9,891.20 and 5,901.64

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Solution

The fourth proportional to 6,602.68, 9,891.20 and 5,901.64 is: 8,841.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,602.68 : 9,891.20 = 5,901.64 : x
  2. Step 2: Convert to fraction form
    6,602.68/9,891.20 = 5,901.64/x
  3. Step 3: Cross multiply
    6,602.68x = 9,891.20 × 5,901.64
  4. Step 4: Simplify right side
    6,602.68x = 58,374,301.57
  5. Step 5: Solve for x
    x = 58,374,301.57/6,602.68
  6. Step 6: Final answer
    x = 8,841.00

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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.