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Finding the Fourth Proportional to 9,680.98, 13,359.70 and 5,903.93

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Solution

The fourth proportional to 9,680.98, 13,359.70 and 5,903.93 is: 8,147.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,680.98 : 13,359.70 = 5,903.93 : x
  2. Step 2: Convert to fraction form
    9,680.98/13,359.70 = 5,903.93/x
  3. Step 3: Cross multiply
    9,680.98x = 13,359.70 × 5,903.93
  4. Step 4: Simplify right side
    9,680.98x = 78,874,733.62
  5. Step 5: Solve for x
    x = 78,874,733.62/9,680.98
  6. Step 6: Final answer
    x = 8,147.39

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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.