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Finding the Fourth Proportional to 9,608.32, 13,259.52 and 5,882.24

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Solution

The fourth proportional to 9,608.32, 13,259.52 and 5,882.24 is: 8,117.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.32 : 13,259.52 = 5,882.24 : x
  2. Step 2: Convert to fraction form
    9,608.32/13,259.52 = 5,882.24/x
  3. Step 3: Cross multiply
    9,608.32x = 13,259.52 × 5,882.24
  4. Step 4: Simplify right side
    9,608.32x = 77,995,678.92
  5. Step 5: Solve for x
    x = 77,995,678.92/9,608.32
  6. Step 6: Final answer
    x = 8,117.51

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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.