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Finding the Fourth Proportional to 9,487.15, 14,232.54 and 2,912.20

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Solution

The fourth proportional to 9,487.15, 14,232.54 and 2,912.20 is: 4,368.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,487.15 : 14,232.54 = 2,912.20 : x
  2. Step 2: Convert to fraction form
    9,487.15/14,232.54 = 2,912.20/x
  3. Step 3: Cross multiply
    9,487.15x = 14,232.54 × 2,912.20
  4. Step 4: Simplify right side
    9,487.15x = 41,448,002.99
  5. Step 5: Solve for x
    x = 41,448,002.99/9,487.15
  6. Step 6: Final answer
    x = 4,368.86

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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.