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Finding the Fourth Proportional to 9,182.92, 12,661.23 and 7,764.16

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Solution

The fourth proportional to 9,182.92, 12,661.23 and 7,764.16 is: 10,705.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.92 : 12,661.23 = 7,764.16 : x
  2. Step 2: Convert to fraction form
    9,182.92/12,661.23 = 7,764.16/x
  3. Step 3: Cross multiply
    9,182.92x = 12,661.23 × 7,764.16
  4. Step 4: Simplify right side
    9,182.92x = 98,303,815.52
  5. Step 5: Solve for x
    x = 98,303,815.52/9,182.92
  6. Step 6: Final answer
    x = 10,705.07

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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.