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Finding the Fourth Proportional to 9,159.83, 12,640.07 and 5,181.74

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Solution

The fourth proportional to 9,159.83, 12,640.07 and 5,181.74 is: 7,150.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,159.83 : 12,640.07 = 5,181.74 : x
  2. Step 2: Convert to fraction form
    9,159.83/12,640.07 = 5,181.74/x
  3. Step 3: Cross multiply
    9,159.83x = 12,640.07 × 5,181.74
  4. Step 4: Simplify right side
    9,159.83x = 65,497,530.41
  5. Step 5: Solve for x
    x = 65,497,530.41/9,159.83
  6. Step 6: Final answer
    x = 7,150.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.