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Finding the Fourth Proportional to 9,641.16, 13,304.79 and 5,449.41

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Solution

The fourth proportional to 9,641.16, 13,304.79 and 5,449.41 is: 7,520.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.16 : 13,304.79 = 5,449.41 : x
  2. Step 2: Convert to fraction form
    9,641.16/13,304.79 = 5,449.41/x
  3. Step 3: Cross multiply
    9,641.16x = 13,304.79 × 5,449.41
  4. Step 4: Simplify right side
    9,641.16x = 72,503,255.67
  5. Step 5: Solve for x
    x = 72,503,255.67/9,641.16
  6. Step 6: Final answer
    x = 7,520.18

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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.