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Finding the Fourth Proportional to 6,024.26, 9,036.39 and 1,641.74

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Solution

The fourth proportional to 6,024.26, 9,036.39 and 1,641.74 is: 2,462.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,024.26 : 9,036.39 = 1,641.74 : x
  2. Step 2: Convert to fraction form
    6,024.26/9,036.39 = 1,641.74/x
  3. Step 3: Cross multiply
    6,024.26x = 9,036.39 × 1,641.74
  4. Step 4: Simplify right side
    6,024.26x = 14,835,402.92
  5. Step 5: Solve for x
    x = 14,835,402.92/6,024.26
  6. Step 6: Final answer
    x = 2,462.61

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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.