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Finding the Fourth Proportional to 9,698.32, 13,382.71 and 5,449.87

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Solution

The fourth proportional to 9,698.32, 13,382.71 and 5,449.87 is: 7,520.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.32 : 13,382.71 = 5,449.87 : x
  2. Step 2: Convert to fraction form
    9,698.32/13,382.71 = 5,449.87/x
  3. Step 3: Cross multiply
    9,698.32x = 13,382.71 × 5,449.87
  4. Step 4: Simplify right side
    9,698.32x = 72,934,029.75
  5. Step 5: Solve for x
    x = 72,934,029.75/9,698.32
  6. Step 6: Final answer
    x = 7,520.27

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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.