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Finding the Fourth Proportional to 9,506.97, 13,116.42 and 6,154.02

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Solution

The fourth proportional to 9,506.97, 13,116.42 and 6,154.02 is: 8,490.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506.97 : 13,116.42 = 6,154.02 : x
  2. Step 2: Convert to fraction form
    9,506.97/13,116.42 = 6,154.02/x
  3. Step 3: Cross multiply
    9,506.97x = 13,116.42 × 6,154.02
  4. Step 4: Simplify right side
    9,506.97x = 80,718,711.01
  5. Step 5: Solve for x
    x = 80,718,711.01/9,506.97
  6. Step 6: Final answer
    x = 8,490.48

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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.