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Finding the Fourth Proportional to 9,535.89, 13,160.22 and 5,287.17

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Solution

The fourth proportional to 9,535.89, 13,160.22 and 5,287.17 is: 7,296.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,535.89 : 13,160.22 = 5,287.17 : x
  2. Step 2: Convert to fraction form
    9,535.89/13,160.22 = 5,287.17/x
  3. Step 3: Cross multiply
    9,535.89x = 13,160.22 × 5,287.17
  4. Step 4: Simplify right side
    9,535.89x = 69,580,320.38
  5. Step 5: Solve for x
    x = 69,580,320.38/9,535.89
  6. Step 6: Final answer
    x = 7,296.68

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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.