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Finding the Fourth Proportional to 9,976.92, 14,946.23 and 5,581.06

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Solution

The fourth proportional to 9,976.92, 14,946.23 and 5,581.06 is: 8,360.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,976.92 : 14,946.23 = 5,581.06 : x
  2. Step 2: Convert to fraction form
    9,976.92/14,946.23 = 5,581.06/x
  3. Step 3: Cross multiply
    9,976.92x = 14,946.23 × 5,581.06
  4. Step 4: Simplify right side
    9,976.92x = 83,415,806.40
  5. Step 5: Solve for x
    x = 83,415,806.40/9,976.92
  6. Step 6: Final answer
    x = 8,360.88

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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.