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Finding the Fourth Proportional to 9,881.80, 14,834.28 and 7,803.20

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Solution

The fourth proportional to 9,881.80, 14,834.28 and 7,803.20 is: 11,713.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,881.80 : 14,834.28 = 7,803.20 : x
  2. Step 2: Convert to fraction form
    9,881.80/14,834.28 = 7,803.20/x
  3. Step 3: Cross multiply
    9,881.80x = 14,834.28 × 7,803.20
  4. Step 4: Simplify right side
    9,881.80x = 115,754,853.70
  5. Step 5: Solve for x
    x = 115,754,853.70/9,881.80
  6. Step 6: Final answer
    x = 11,713.94

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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.