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Finding the Fourth Proportional to 9,452.81, 14,181.57 and 3,907.76

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Solution

The fourth proportional to 9,452.81, 14,181.57 and 3,907.76 is: 5,862.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,452.81 : 14,181.57 = 3,907.76 : x
  2. Step 2: Convert to fraction form
    9,452.81/14,181.57 = 3,907.76/x
  3. Step 3: Cross multiply
    9,452.81x = 14,181.57 × 3,907.76
  4. Step 4: Simplify right side
    9,452.81x = 55,418,101.08
  5. Step 5: Solve for x
    x = 55,418,101.08/9,452.81
  6. Step 6: Final answer
    x = 5,862.60

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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.