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Finding the Fourth Proportional to 9,427.20, 13,008.64 and 5,447.76

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Solution

The fourth proportional to 9,427.20, 13,008.64 and 5,447.76 is: 7,517.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,427.20 : 13,008.64 = 5,447.76 : x
  2. Step 2: Convert to fraction form
    9,427.20/13,008.64 = 5,447.76/x
  3. Step 3: Cross multiply
    9,427.20x = 13,008.64 × 5,447.76
  4. Step 4: Simplify right side
    9,427.20x = 70,867,948.65
  5. Step 5: Solve for x
    x = 70,867,948.65/9,427.20
  6. Step 6: Final answer
    x = 7,517.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.