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Finding the Fourth Proportional to 9,087.75, 13,623.12 and 8,276.13

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Solution

The fourth proportional to 9,087.75, 13,623.12 and 8,276.13 is: 12,406.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,087.75 : 13,623.12 = 8,276.13 : x
  2. Step 2: Convert to fraction form
    9,087.75/13,623.12 = 8,276.13/x
  3. Step 3: Cross multiply
    9,087.75x = 13,623.12 × 8,276.13
  4. Step 4: Simplify right side
    9,087.75x = 112,746,712.13
  5. Step 5: Solve for x
    x = 112,746,712.13/9,087.75
  6. Step 6: Final answer
    x = 12,406.45

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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.