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Finding the Fourth Proportional to 6,159.26, 9,243.75 and 4,298.29

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Solution

The fourth proportional to 6,159.26, 9,243.75 and 4,298.29 is: 6,450.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,159.26 : 9,243.75 = 4,298.29 : x
  2. Step 2: Convert to fraction form
    6,159.26/9,243.75 = 4,298.29/x
  3. Step 3: Cross multiply
    6,159.26x = 9,243.75 × 4,298.29
  4. Step 4: Simplify right side
    6,159.26x = 39,732,318.19
  5. Step 5: Solve for x
    x = 39,732,318.19/6,159.26
  6. Step 6: Final answer
    x = 6,450.83

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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.