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Finding the Fourth Proportional to 6,029.04, 9,041.72 and 3,563.18

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Solution

The fourth proportional to 6,029.04, 9,041.72 and 3,563.18 is: 5,343.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,029.04 : 9,041.72 = 3,563.18 : x
  2. Step 2: Convert to fraction form
    6,029.04/9,041.72 = 3,563.18/x
  3. Step 3: Cross multiply
    6,029.04x = 9,041.72 × 3,563.18
  4. Step 4: Simplify right side
    6,029.04x = 32,217,275.87
  5. Step 5: Solve for x
    x = 32,217,275.87/6,029.04
  6. Step 6: Final answer
    x = 5,343.68

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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.