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Finding the Fourth Proportional to 9,749.52, 14,601.03 and 6,228.45

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Solution

The fourth proportional to 9,749.52, 14,601.03 and 6,228.45 is: 9,327.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,749.52 : 14,601.03 = 6,228.45 : x
  2. Step 2: Convert to fraction form
    9,749.52/14,601.03 = 6,228.45/x
  3. Step 3: Cross multiply
    9,749.52x = 14,601.03 × 6,228.45
  4. Step 4: Simplify right side
    9,749.52x = 90,941,785.30
  5. Step 5: Solve for x
    x = 90,941,785.30/9,749.52
  6. Step 6: Final answer
    x = 9,327.82

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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.