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Finding the Fourth Proportional to 9,799.92, 14,702.02 and 3,225.78

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Solution

The fourth proportional to 9,799.92, 14,702.02 and 3,225.78 is: 4,839.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,799.92 : 14,702.02 = 3,225.78 : x
  2. Step 2: Convert to fraction form
    9,799.92/14,702.02 = 3,225.78/x
  3. Step 3: Cross multiply
    9,799.92x = 14,702.02 × 3,225.78
  4. Step 4: Simplify right side
    9,799.92x = 47,425,482.08
  5. Step 5: Solve for x
    x = 47,425,482.08/9,799.92
  6. Step 6: Final answer
    x = 4,839.37

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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.