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Finding the Fourth Proportional to 9,599.82, 13,246.15 and 5,349.95

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Solution

The fourth proportional to 9,599.82, 13,246.15 and 5,349.95 is: 7,382.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,599.82 : 13,246.15 = 5,349.95 : x
  2. Step 2: Convert to fraction form
    9,599.82/13,246.15 = 5,349.95/x
  3. Step 3: Cross multiply
    9,599.82x = 13,246.15 × 5,349.95
  4. Step 4: Simplify right side
    9,599.82x = 70,866,213.44
  5. Step 5: Solve for x
    x = 70,866,213.44/9,599.82
  6. Step 6: Final answer
    x = 7,382.04

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Why These Related Problems?

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