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Finding the Fourth Proportional to 9,073.50, 13,606.80 and 5,376.78

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Solution

The fourth proportional to 9,073.50, 13,606.80 and 5,376.78 is: 8,063.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,073.50 : 13,606.80 = 5,376.78 : x
  2. Step 2: Convert to fraction form
    9,073.50/13,606.80 = 5,376.78/x
  3. Step 3: Cross multiply
    9,073.50x = 13,606.80 × 5,376.78
  4. Step 4: Simplify right side
    9,073.50x = 73,160,770.10
  5. Step 5: Solve for x
    x = 73,160,770.10/9,073.50
  6. Step 6: Final answer
    x = 8,063.13

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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.