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Finding the Fourth Proportional to 6,101.46, 9,147.06 and 4,247.10

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Solution

The fourth proportional to 6,101.46, 9,147.06 and 4,247.10 is: 6,367.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.46 : 9,147.06 = 4,247.10 : x
  2. Step 2: Convert to fraction form
    6,101.46/9,147.06 = 4,247.10/x
  3. Step 3: Cross multiply
    6,101.46x = 9,147.06 × 4,247.10
  4. Step 4: Simplify right side
    6,101.46x = 38,848,478.53
  5. Step 5: Solve for x
    x = 38,848,478.53/6,101.46
  6. Step 6: Final answer
    x = 6,367.08

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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.