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Finding the Fourth Proportional to 9,159.82, 12,642.18 and 5,182.18

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Solution

The fourth proportional to 9,159.82, 12,642.18 and 5,182.18 is: 7,152.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,159.82 : 12,642.18 = 5,182.18 : x
  2. Step 2: Convert to fraction form
    9,159.82/12,642.18 = 5,182.18/x
  3. Step 3: Cross multiply
    9,159.82x = 12,642.18 × 5,182.18
  4. Step 4: Simplify right side
    9,159.82x = 65,514,052.35
  5. Step 5: Solve for x
    x = 65,514,052.35/9,159.82
  6. Step 6: Final answer
    x = 7,152.33

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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.