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Finding the Fourth Proportional to 9,014.52, 12,441.24 and 5,237.76

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Solution

The fourth proportional to 9,014.52, 12,441.24 and 5,237.76 is: 7,228.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,014.52 : 12,441.24 = 5,237.76 : x
  2. Step 2: Convert to fraction form
    9,014.52/12,441.24 = 5,237.76/x
  3. Step 3: Cross multiply
    9,014.52x = 12,441.24 × 5,237.76
  4. Step 4: Simplify right side
    9,014.52x = 65,164,229.22
  5. Step 5: Solve for x
    x = 65,164,229.22/9,014.52
  6. Step 6: Final answer
    x = 7,228.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.