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Finding the Fourth Proportional to 9,527.26, 13,147.43 and 5,278.61

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Solution

The fourth proportional to 9,527.26, 13,147.43 and 5,278.61 is: 7,284.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,527.26 : 13,147.43 = 5,278.61 : x
  2. Step 2: Convert to fraction form
    9,527.26/13,147.43 = 5,278.61/x
  3. Step 3: Cross multiply
    9,527.26x = 13,147.43 × 5,278.61
  4. Step 4: Simplify right side
    9,527.26x = 69,400,155.47
  5. Step 5: Solve for x
    x = 69,400,155.47/9,527.26
  6. Step 6: Final answer
    x = 7,284.38

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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.