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Finding the Fourth Proportional to 9,155.34, 13,730.85 and 4,221.90

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Solution

The fourth proportional to 9,155.34, 13,730.85 and 4,221.90 is: 6,331.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,155.34 : 13,730.85 = 4,221.90 : x
  2. Step 2: Convert to fraction form
    9,155.34/13,730.85 = 4,221.90/x
  3. Step 3: Cross multiply
    9,155.34x = 13,730.85 × 4,221.90
  4. Step 4: Simplify right side
    9,155.34x = 57,970,275.62
  5. Step 5: Solve for x
    x = 57,970,275.62/9,155.34
  6. Step 6: Final answer
    x = 6,331.85

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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.