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Finding the Fourth Proportional to 6,427.46, 9,636.65 and 2,475.39

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Solution

The fourth proportional to 6,427.46, 9,636.65 and 2,475.39 is: 3,711.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,427.46 : 9,636.65 = 2,475.39 : x
  2. Step 2: Convert to fraction form
    6,427.46/9,636.65 = 2,475.39/x
  3. Step 3: Cross multiply
    6,427.46x = 9,636.65 × 2,475.39
  4. Step 4: Simplify right side
    6,427.46x = 23,854,473.23
  5. Step 5: Solve for x
    x = 23,854,473.23/6,427.46
  6. Step 6: Final answer
    x = 3,711.34

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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.