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Finding the Fourth Proportional to 6,077.72, 9,116.58 and 1,695.17

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Solution

The fourth proportional to 6,077.72, 9,116.58 and 1,695.17 is: 2,542.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,077.72 : 9,116.58 = 1,695.17 : x
  2. Step 2: Convert to fraction form
    6,077.72/9,116.58 = 1,695.17/x
  3. Step 3: Cross multiply
    6,077.72x = 9,116.58 × 1,695.17
  4. Step 4: Simplify right side
    6,077.72x = 15,454,107.34
  5. Step 5: Solve for x
    x = 15,454,107.34/6,077.72
  6. Step 6: Final answer
    x = 2,542.75

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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.