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Finding the Fourth Proportional to 9,081.60, 12,526.38 and 8,776.86

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Solution

The fourth proportional to 9,081.60, 12,526.38 and 8,776.86 is: 12,106.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,081.60 : 12,526.38 = 8,776.86 : x
  2. Step 2: Convert to fraction form
    9,081.60/12,526.38 = 8,776.86/x
  3. Step 3: Cross multiply
    9,081.60x = 12,526.38 × 8,776.86
  4. Step 4: Simplify right side
    9,081.60x = 109,942,283.57
  5. Step 5: Solve for x
    x = 109,942,283.57/9,081.60
  6. Step 6: Final answer
    x = 12,106.05

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Why These Related Problems?

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