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Finding the Fourth Proportional to 9,116.70, 13,682.56 and 7,049.30

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Solution

The fourth proportional to 9,116.70, 13,682.56 and 7,049.30 is: 10,579.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116.70 : 13,682.56 = 7,049.30 : x
  2. Step 2: Convert to fraction form
    9,116.70/13,682.56 = 7,049.30/x
  3. Step 3: Cross multiply
    9,116.70x = 13,682.56 × 7,049.30
  4. Step 4: Simplify right side
    9,116.70x = 96,452,397.39
  5. Step 5: Solve for x
    x = 96,452,397.39/9,116.70
  6. Step 6: Final answer
    x = 10,579.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.