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Finding the Fourth Proportional to 9,902.64, 14,837.76 and 5,995.20

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Solution

The fourth proportional to 9,902.64, 14,837.76 and 5,995.20 is: 8,982.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.64 : 14,837.76 = 5,995.20 : x
  2. Step 2: Convert to fraction form
    9,902.64/14,837.76 = 5,995.20/x
  3. Step 3: Cross multiply
    9,902.64x = 14,837.76 × 5,995.20
  4. Step 4: Simplify right side
    9,902.64x = 88,955,338.75
  5. Step 5: Solve for x
    x = 88,955,338.75/9,902.64
  6. Step 6: Final answer
    x = 8,982.99

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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.