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Finding the Fourth Proportional to 9,088.75, 13,624.62 and 8,277.13

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Solution

The fourth proportional to 9,088.75, 13,624.62 and 8,277.13 is: 12,407.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,088.75 : 13,624.62 = 8,277.13 : x
  2. Step 2: Convert to fraction form
    9,088.75/13,624.62 = 8,277.13/x
  3. Step 3: Cross multiply
    9,088.75x = 13,624.62 × 8,277.13
  4. Step 4: Simplify right side
    9,088.75x = 112,772,750.94
  5. Step 5: Solve for x
    x = 112,772,750.94/9,088.75
  6. Step 6: Final answer
    x = 12,407.95

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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.