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Finding the Fourth Proportional to 9,161.17, 12,642.35 and 5,182.25

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Solution

The fourth proportional to 9,161.17, 12,642.35 and 5,182.25 is: 7,151.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,161.17 : 12,642.35 = 5,182.25 : x
  2. Step 2: Convert to fraction form
    9,161.17/12,642.35 = 5,182.25/x
  3. Step 3: Cross multiply
    9,161.17x = 12,642.35 × 5,182.25
  4. Step 4: Simplify right side
    9,161.17x = 65,515,729.16
  5. Step 5: Solve for x
    x = 65,515,729.16/9,161.17
  6. Step 6: Final answer
    x = 7,151.46

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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.