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Finding the Fourth Proportional to 7,021.95, 9,692.38 and 4,191.30

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Solution

The fourth proportional to 7,021.95, 9,692.38 and 4,191.30 is: 5,785.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,021.95 : 9,692.38 = 4,191.30 : x
  2. Step 2: Convert to fraction form
    7,021.95/9,692.38 = 4,191.30/x
  3. Step 3: Cross multiply
    7,021.95x = 9,692.38 × 4,191.30
  4. Step 4: Simplify right side
    7,021.95x = 40,623,672.29
  5. Step 5: Solve for x
    x = 40,623,672.29/7,021.95
  6. Step 6: Final answer
    x = 5,785.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.