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Finding the Fourth Proportional to 8,914.65, 12,299 and 5,376.57

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Solution

The fourth proportional to 8,914.65, 12,299 and 5,376.57 is: 7,417.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,914.65 : 12,299 = 5,376.57 : x
  2. Step 2: Convert to fraction form
    8,914.65/12,299 = 5,376.57/x
  3. Step 3: Cross multiply
    8,914.65x = 12,299 × 5,376.57
  4. Step 4: Simplify right side
    8,914.65x = 66,126,434.43
  5. Step 5: Solve for x
    x = 66,126,434.43/8,914.65
  6. Step 6: Final answer
    x = 7,417.73

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