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Finding the Fourth Proportional to 9,808.38, 14,702.26 and 4,803.85

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Solution

The fourth proportional to 9,808.38, 14,702.26 and 4,803.85 is: 7,200.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808.38 : 14,702.26 = 4,803.85 : x
  2. Step 2: Convert to fraction form
    9,808.38/14,702.26 = 4,803.85/x
  3. Step 3: Cross multiply
    9,808.38x = 14,702.26 × 4,803.85
  4. Step 4: Simplify right side
    9,808.38x = 70,627,451.70
  5. Step 5: Solve for x
    x = 70,627,451.70/9,808.38
  6. Step 6: Final answer
    x = 7,200.73

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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.