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Finding the Fourth Proportional to 9,088.50, 13,624.25 and 8,276.88

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Solution

The fourth proportional to 9,088.50, 13,624.25 and 8,276.88 is: 12,407.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,088.50 : 13,624.25 = 8,276.88 : x
  2. Step 2: Convert to fraction form
    9,088.50/13,624.25 = 8,276.88/x
  3. Step 3: Cross multiply
    9,088.50x = 13,624.25 × 8,276.88
  4. Step 4: Simplify right side
    9,088.50x = 112,766,240.96
  5. Step 5: Solve for x
    x = 112,766,240.96/9,088.50
  6. Step 6: Final answer
    x = 12,407.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.