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Finding the Fourth Proportional to 9,857.70, 14,788.98 and 2,932.20

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Solution

The fourth proportional to 9,857.70, 14,788.98 and 2,932.20 is: 4,399.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.70 : 14,788.98 = 2,932.20 : x
  2. Step 2: Convert to fraction form
    9,857.70/14,788.98 = 2,932.20/x
  3. Step 3: Cross multiply
    9,857.70x = 14,788.98 × 2,932.20
  4. Step 4: Simplify right side
    9,857.70x = 43,364,247.16
  5. Step 5: Solve for x
    x = 43,364,247.16/9,857.70
  6. Step 6: Final answer
    x = 4,399.02

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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.