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Finding the Fourth Proportional to 9,813.31, 13,542.68 and 5,564.55

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Solution

The fourth proportional to 9,813.31, 13,542.68 and 5,564.55 is: 7,679.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.31 : 13,542.68 = 5,564.55 : x
  2. Step 2: Convert to fraction form
    9,813.31/13,542.68 = 5,564.55/x
  3. Step 3: Cross multiply
    9,813.31x = 13,542.68 × 5,564.55
  4. Step 4: Simplify right side
    9,813.31x = 75,358,934.35
  5. Step 5: Solve for x
    x = 75,358,934.35/9,813.31
  6. Step 6: Final answer
    x = 7,679.25

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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.