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Finding the Fourth Proportional to 6,024.33, 9,036.90 and 1,641.42

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Solution

The fourth proportional to 6,024.33, 9,036.90 and 1,641.42 is: 2,462.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,024.33 : 9,036.90 = 1,641.42 : x
  2. Step 2: Convert to fraction form
    6,024.33/9,036.90 = 1,641.42/x
  3. Step 3: Cross multiply
    6,024.33x = 9,036.90 × 1,641.42
  4. Step 4: Simplify right side
    6,024.33x = 14,833,348.40
  5. Step 5: Solve for x
    x = 14,833,348.40/6,024.33
  6. Step 6: Final answer
    x = 2,462.24

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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.