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Finding the Fourth Proportional to 9,151.97, 13,730.45 and 3,887.24

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Solution

The fourth proportional to 9,151.97, 13,730.45 and 3,887.24 is: 5,831.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,151.97 : 13,730.45 = 3,887.24 : x
  2. Step 2: Convert to fraction form
    9,151.97/13,730.45 = 3,887.24/x
  3. Step 3: Cross multiply
    9,151.97x = 13,730.45 × 3,887.24
  4. Step 4: Simplify right side
    9,151.97x = 53,373,466.37
  5. Step 5: Solve for x
    x = 53,373,466.37/9,151.97
  6. Step 6: Final answer
    x = 5,831.91

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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.