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Finding the Fourth Proportional to 9,609.46, 13,260.54 and 5,417.44

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Solution

The fourth proportional to 9,609.46, 13,260.54 and 5,417.44 is: 7,475.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,609.46 : 13,260.54 = 5,417.44 : x
  2. Step 2: Convert to fraction form
    9,609.46/13,260.54 = 5,417.44/x
  3. Step 3: Cross multiply
    9,609.46x = 13,260.54 × 5,417.44
  4. Step 4: Simplify right side
    9,609.46x = 71,838,179.82
  5. Step 5: Solve for x
    x = 71,838,179.82/9,609.46
  6. Step 6: Final answer
    x = 7,475.78

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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.