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Finding the Fourth Proportional to 9,160.74, 12,642.36 and 5,180.40

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Solution

The fourth proportional to 9,160.74, 12,642.36 and 5,180.40 is: 7,149.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,160.74 : 12,642.36 = 5,180.40 : x
  2. Step 2: Convert to fraction form
    9,160.74/12,642.36 = 5,180.40/x
  3. Step 3: Cross multiply
    9,160.74x = 12,642.36 × 5,180.40
  4. Step 4: Simplify right side
    9,160.74x = 65,492,481.74
  5. Step 5: Solve for x
    x = 65,492,481.74/9,160.74
  6. Step 6: Final answer
    x = 7,149.26

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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.