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Finding the Fourth Proportional to 6,452.33, 9,671.95 and 4,372.54

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Solution

The fourth proportional to 6,452.33, 9,671.95 and 4,372.54 is: 6,554.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452.33 : 9,671.95 = 4,372.54 : x
  2. Step 2: Convert to fraction form
    6,452.33/9,671.95 = 4,372.54/x
  3. Step 3: Cross multiply
    6,452.33x = 9,671.95 × 4,372.54
  4. Step 4: Simplify right side
    6,452.33x = 42,290,964.07
  5. Step 5: Solve for x
    x = 42,290,964.07/6,452.33
  6. Step 6: Final answer
    x = 6,554.38

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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.