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Finding the Fourth Proportional to 9,294.56, 13,947.28 and 3,455.20

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Solution

The fourth proportional to 9,294.56, 13,947.28 and 3,455.20 is: 5,184.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.56 : 13,947.28 = 3,455.20 : x
  2. Step 2: Convert to fraction form
    9,294.56/13,947.28 = 3,455.20/x
  3. Step 3: Cross multiply
    9,294.56x = 13,947.28 × 3,455.20
  4. Step 4: Simplify right side
    9,294.56x = 48,190,641.86
  5. Step 5: Solve for x
    x = 48,190,641.86/9,294.56
  6. Step 6: Final answer
    x = 5,184.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.