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Finding the Fourth Proportional to 9,750.70, 14,640.45 and 6,841.90

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Solution

The fourth proportional to 9,750.70, 14,640.45 and 6,841.90 is: 10,272.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.70 : 14,640.45 = 6,841.90 : x
  2. Step 2: Convert to fraction form
    9,750.70/14,640.45 = 6,841.90/x
  3. Step 3: Cross multiply
    9,750.70x = 14,640.45 × 6,841.90
  4. Step 4: Simplify right side
    9,750.70x = 100,168,494.86
  5. Step 5: Solve for x
    x = 100,168,494.86/9,750.70
  6. Step 6: Final answer
    x = 10,272.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.