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Finding the Fourth Proportional to 9,116.10, 13,666.05 and 5,414.40

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Solution

The fourth proportional to 9,116.10, 13,666.05 and 5,414.40 is: 8,116.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116.10 : 13,666.05 = 5,414.40 : x
  2. Step 2: Convert to fraction form
    9,116.10/13,666.05 = 5,414.40/x
  3. Step 3: Cross multiply
    9,116.10x = 13,666.05 × 5,414.40
  4. Step 4: Simplify right side
    9,116.10x = 73,993,461.12
  5. Step 5: Solve for x
    x = 73,993,461.12/9,116.10
  6. Step 6: Final answer
    x = 8,116.79

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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.