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Finding the Fourth Proportional to 9,159.14, 12,642.66 and 6,514.22

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Solution

The fourth proportional to 9,159.14, 12,642.66 and 6,514.22 is: 8,991.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,159.14 : 12,642.66 = 6,514.22 : x
  2. Step 2: Convert to fraction form
    9,159.14/12,642.66 = 6,514.22/x
  3. Step 3: Cross multiply
    9,159.14x = 12,642.66 × 6,514.22
  4. Step 4: Simplify right side
    9,159.14x = 82,357,068.63
  5. Step 5: Solve for x
    x = 82,357,068.63/9,159.14
  6. Step 6: Final answer
    x = 8,991.79

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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.