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Finding the Fourth Proportional to 9,035.32, 13,531.22 and 7,711.38

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Solution

The fourth proportional to 9,035.32, 13,531.22 and 7,711.38 is: 11,548.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,035.32 : 13,531.22 = 7,711.38 : x
  2. Step 2: Convert to fraction form
    9,035.32/13,531.22 = 7,711.38/x
  3. Step 3: Cross multiply
    9,035.32x = 13,531.22 × 7,711.38
  4. Step 4: Simplify right side
    9,035.32x = 104,344,379.28
  5. Step 5: Solve for x
    x = 104,344,379.28/9,035.32
  6. Step 6: Final answer
    x = 11,548.50

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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.