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Finding the Fourth Proportional to 9,768.52, 14,660.63 and 5,089.92

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Solution

The fourth proportional to 9,768.52, 14,660.63 and 5,089.92 is: 7,638.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768.52 : 14,660.63 = 5,089.92 : x
  2. Step 2: Convert to fraction form
    9,768.52/14,660.63 = 5,089.92/x
  3. Step 3: Cross multiply
    9,768.52x = 14,660.63 × 5,089.92
  4. Step 4: Simplify right side
    9,768.52x = 74,621,446.57
  5. Step 5: Solve for x
    x = 74,621,446.57/9,768.52
  6. Step 6: Final answer
    x = 7,638.97

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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.