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Finding the Fourth Proportional to 9,866.57, 14,799.24 and 4,023.02

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Solution

The fourth proportional to 9,866.57, 14,799.24 and 4,023.02 is: 6,034.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,866.57 : 14,799.24 = 4,023.02 : x
  2. Step 2: Convert to fraction form
    9,866.57/14,799.24 = 4,023.02/x
  3. Step 3: Cross multiply
    9,866.57x = 14,799.24 × 4,023.02
  4. Step 4: Simplify right side
    9,866.57x = 59,537,675.50
  5. Step 5: Solve for x
    x = 59,537,675.50/9,866.57
  6. Step 6: Final answer
    x = 6,034.29

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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.