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Finding the Fourth Proportional to 9,922.19, 13,692.89 and 5,673.95

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Solution

The fourth proportional to 9,922.19, 13,692.89 and 5,673.95 is: 7,830.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,922.19 : 13,692.89 = 5,673.95 : x
  2. Step 2: Convert to fraction form
    9,922.19/13,692.89 = 5,673.95/x
  3. Step 3: Cross multiply
    9,922.19x = 13,692.89 × 5,673.95
  4. Step 4: Simplify right side
    9,922.19x = 77,692,676.38
  5. Step 5: Solve for x
    x = 77,692,676.38/9,922.19
  6. Step 6: Final answer
    x = 7,830.19

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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.