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Finding the Fourth Proportional to 6,024.91, 9,038.91 and 2,513.80

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Solution

The fourth proportional to 6,024.91, 9,038.91 and 2,513.80 is: 3,771.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,024.91 : 9,038.91 = 2,513.80 : x
  2. Step 2: Convert to fraction form
    6,024.91/9,038.91 = 2,513.80/x
  3. Step 3: Cross multiply
    6,024.91x = 9,038.91 × 2,513.80
  4. Step 4: Simplify right side
    6,024.91x = 22,722,011.96
  5. Step 5: Solve for x
    x = 22,722,011.96/6,024.91
  6. Step 6: Final answer
    x = 3,771.34

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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.