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Finding the Fourth Proportional to 9,221.40, 13,815.60 and 5,608.40

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Solution

The fourth proportional to 9,221.40, 13,815.60 and 5,608.40 is: 8,402.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,221.40 : 13,815.60 = 5,608.40 : x
  2. Step 2: Convert to fraction form
    9,221.40/13,815.60 = 5,608.40/x
  3. Step 3: Cross multiply
    9,221.40x = 13,815.60 × 5,608.40
  4. Step 4: Simplify right side
    9,221.40x = 77,483,411.04
  5. Step 5: Solve for x
    x = 77,483,411.04/9,221.40
  6. Step 6: Final answer
    x = 8,402.56

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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.