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Finding the Fourth Proportional to 6,013.12, 9,024 and 3,706.24

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Solution

The fourth proportional to 6,013.12, 9,024 and 3,706.24 is: 5,562.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,013.12 : 9,024 = 3,706.24 : x
  2. Step 2: Convert to fraction form
    6,013.12/9,024 = 3,706.24/x
  3. Step 3: Cross multiply
    6,013.12x = 9,024 × 3,706.24
  4. Step 4: Simplify right side
    6,013.12x = 33,445,109.76
  5. Step 5: Solve for x
    x = 33,445,109.76/6,013.12
  6. Step 6: Final answer
    x = 5,562.02

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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.