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Finding the Fourth Proportional to 7,131.20, 9,844.68 and 4,894

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Solution

The fourth proportional to 7,131.20, 9,844.68 and 4,894 is: 6,756.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,131.20 : 9,844.68 = 4,894 : x
  2. Step 2: Convert to fraction form
    7,131.20/9,844.68 = 4,894/x
  3. Step 3: Cross multiply
    7,131.20x = 9,844.68 × 4,894
  4. Step 4: Simplify right side
    7,131.20x = 48,179,863.92
  5. Step 5: Solve for x
    x = 48,179,863.92/7,131.20
  6. Step 6: Final answer
    x = 6,756.21

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