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Finding the Fourth Proportional to 9,382.74, 14,063.17 and 5,478.95

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Solution

The fourth proportional to 9,382.74, 14,063.17 and 5,478.95 is: 8,212.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,382.74 : 14,063.17 = 5,478.95 : x
  2. Step 2: Convert to fraction form
    9,382.74/14,063.17 = 5,478.95/x
  3. Step 3: Cross multiply
    9,382.74x = 14,063.17 × 5,478.95
  4. Step 4: Simplify right side
    9,382.74x = 77,051,307.56
  5. Step 5: Solve for x
    x = 77,051,307.56/9,382.74
  6. Step 6: Final answer
    x = 8,212.03

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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.