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Finding the Fourth Proportional to 9,540.32, 13,166.16 and 5,348.48

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Solution

The fourth proportional to 9,540.32, 13,166.16 and 5,348.48 is: 7,381.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,540.32 : 13,166.16 = 5,348.48 : x
  2. Step 2: Convert to fraction form
    9,540.32/13,166.16 = 5,348.48/x
  3. Step 3: Cross multiply
    9,540.32x = 13,166.16 × 5,348.48
  4. Step 4: Simplify right side
    9,540.32x = 70,418,943.44
  5. Step 5: Solve for x
    x = 70,418,943.44/9,540.32
  6. Step 6: Final answer
    x = 7,381.19

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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.