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Finding the Fourth Proportional to 6,375.56, 9,569.10 and 4,325

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Solution

The fourth proportional to 6,375.56, 9,569.10 and 4,325 is: 6,491.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,375.56 : 9,569.10 = 4,325 : x
  2. Step 2: Convert to fraction form
    6,375.56/9,569.10 = 4,325/x
  3. Step 3: Cross multiply
    6,375.56x = 9,569.10 × 4,325
  4. Step 4: Simplify right side
    6,375.56x = 41,386,357.50
  5. Step 5: Solve for x
    x = 41,386,357.50/6,375.56
  6. Step 6: Final answer
    x = 6,491.41

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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.