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Finding the Fourth Proportional to 10,232.88, 15,323.40 and 6,325.44

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Solution

The fourth proportional to 10,232.88, 15,323.40 and 6,325.44 is: 9,472.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,232.88 : 15,323.40 = 6,325.44 : x
  2. Step 2: Convert to fraction form
    10,232.88/15,323.40 = 6,325.44/x
  3. Step 3: Cross multiply
    10,232.88x = 15,323.40 × 6,325.44
  4. Step 4: Simplify right side
    10,232.88x = 96,927,247.30
  5. Step 5: Solve for x
    x = 96,927,247.30/10,232.88
  6. Step 6: Final answer
    x = 9,472.14

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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.