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Finding the Fourth Proportional to 9,156.16, 13,730.99 and 3,959.20

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Solution

The fourth proportional to 9,156.16, 13,730.99 and 3,959.20 is: 5,937.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,156.16 : 13,730.99 = 3,959.20 : x
  2. Step 2: Convert to fraction form
    9,156.16/13,730.99 = 3,959.20/x
  3. Step 3: Cross multiply
    9,156.16x = 13,730.99 × 3,959.20
  4. Step 4: Simplify right side
    9,156.16x = 54,363,735.61
  5. Step 5: Solve for x
    x = 54,363,735.61/9,156.16
  6. Step 6: Final answer
    x = 5,937.39

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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.