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Finding the Fourth Proportional to 9,577.68, 13,217.40 and 5,387.28

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Solution

The fourth proportional to 9,577.68, 13,217.40 and 5,387.28 is: 7,434.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,577.68 : 13,217.40 = 5,387.28 : x
  2. Step 2: Convert to fraction form
    9,577.68/13,217.40 = 5,387.28/x
  3. Step 3: Cross multiply
    9,577.68x = 13,217.40 × 5,387.28
  4. Step 4: Simplify right side
    9,577.68x = 71,205,834.67
  5. Step 5: Solve for x
    x = 71,205,834.67/9,577.68
  6. Step 6: Final answer
    x = 7,434.56

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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.