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Finding the Fourth Proportional to 9,560.32, 14,327.04 and 9,034.56

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Solution

The fourth proportional to 9,560.32, 14,327.04 and 9,034.56 is: 13,539.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,560.32 : 14,327.04 = 9,034.56 : x
  2. Step 2: Convert to fraction form
    9,560.32/14,327.04 = 9,034.56/x
  3. Step 3: Cross multiply
    9,560.32x = 14,327.04 × 9,034.56
  4. Step 4: Simplify right side
    9,560.32x = 129,438,502.50
  5. Step 5: Solve for x
    x = 129,438,502.50/9,560.32
  6. Step 6: Final answer
    x = 13,539.14

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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.