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Finding the Fourth Proportional to 9,922.98, 13,692.98 and 5,446.02

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Solution

The fourth proportional to 9,922.98, 13,692.98 and 5,446.02 is: 7,515.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,922.98 : 13,692.98 = 5,446.02 : x
  2. Step 2: Convert to fraction form
    9,922.98/13,692.98 = 5,446.02/x
  3. Step 3: Cross multiply
    9,922.98x = 13,692.98 × 5,446.02
  4. Step 4: Simplify right side
    9,922.98x = 74,572,215.71
  5. Step 5: Solve for x
    x = 74,572,215.71/9,922.98
  6. Step 6: Final answer
    x = 7,515.10

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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.