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Finding the Fourth Proportional to 9,116.10, 13,674.15 and 9,029.70

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Solution

The fourth proportional to 9,116.10, 13,674.15 and 9,029.70 is: 13,544.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116.10 : 13,674.15 = 9,029.70 : x
  2. Step 2: Convert to fraction form
    9,116.10/13,674.15 = 9,029.70/x
  3. Step 3: Cross multiply
    9,116.10x = 13,674.15 × 9,029.70
  4. Step 4: Simplify right side
    9,116.10x = 123,473,472.26
  5. Step 5: Solve for x
    x = 123,473,472.26/9,116.10
  6. Step 6: Final answer
    x = 13,544.55

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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.