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Finding the Fourth Proportional to 9,956.80, 14,935.02 and 3,031.30

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Solution

The fourth proportional to 9,956.80, 14,935.02 and 3,031.30 is: 4,546.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,956.80 : 14,935.02 = 3,031.30 : x
  2. Step 2: Convert to fraction form
    9,956.80/14,935.02 = 3,031.30/x
  3. Step 3: Cross multiply
    9,956.80x = 14,935.02 × 3,031.30
  4. Step 4: Simplify right side
    9,956.80x = 45,272,526.13
  5. Step 5: Solve for x
    x = 45,272,526.13/9,956.80
  6. Step 6: Final answer
    x = 4,546.90

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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.