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Finding the Fourth Proportional to 9,107.96, 13,677.30 and 8,640.32

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Solution

The fourth proportional to 9,107.96, 13,677.30 and 8,640.32 is: 12,975.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107.96 : 13,677.30 = 8,640.32 : x
  2. Step 2: Convert to fraction form
    9,107.96/13,677.30 = 8,640.32/x
  3. Step 3: Cross multiply
    9,107.96x = 13,677.30 × 8,640.32
  4. Step 4: Simplify right side
    9,107.96x = 118,176,248.74
  5. Step 5: Solve for x
    x = 118,176,248.74/9,107.96
  6. Step 6: Final answer
    x = 12,975.05

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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.