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Finding the Fourth Proportional to 9,114.66, 13,672.40 and 4,438.53

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Solution

The fourth proportional to 9,114.66, 13,672.40 and 4,438.53 is: 6,657.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.66 : 13,672.40 = 4,438.53 : x
  2. Step 2: Convert to fraction form
    9,114.66/13,672.40 = 4,438.53/x
  3. Step 3: Cross multiply
    9,114.66x = 13,672.40 × 4,438.53
  4. Step 4: Simplify right side
    9,114.66x = 60,685,335.38
  5. Step 5: Solve for x
    x = 60,685,335.38/9,114.66
  6. Step 6: Final answer
    x = 6,657.99

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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.