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Finding the Fourth Proportional to 9,866.46, 14,799.69 and 4,023.53

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Solution

The fourth proportional to 9,866.46, 14,799.69 and 4,023.53 is: 6,035.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,866.46 : 14,799.69 = 4,023.53 : x
  2. Step 2: Convert to fraction form
    9,866.46/14,799.69 = 4,023.53/x
  3. Step 3: Cross multiply
    9,866.46x = 14,799.69 × 4,023.53
  4. Step 4: Simplify right side
    9,866.46x = 59,546,922.71
  5. Step 5: Solve for x
    x = 59,546,922.71/9,866.46
  6. Step 6: Final answer
    x = 6,035.29

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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.