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Finding the Fourth Proportional to 6,104.42, 9,159.50 and 4,233.17

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Solution

The fourth proportional to 6,104.42, 9,159.50 and 4,233.17 is: 6,351.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,104.42 : 9,159.50 = 4,233.17 : x
  2. Step 2: Convert to fraction form
    6,104.42/9,159.50 = 4,233.17/x
  3. Step 3: Cross multiply
    6,104.42x = 9,159.50 × 4,233.17
  4. Step 4: Simplify right side
    6,104.42x = 38,773,653.65
  5. Step 5: Solve for x
    x = 38,773,653.65/6,104.42
  6. Step 6: Final answer
    x = 6,351.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.