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Finding the Fourth Proportional to 9,922, 13,692.36 and 5,506

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Solution

The fourth proportional to 9,922, 13,692.36 and 5,506 is: 7,598.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,922 : 13,692.36 = 5,506 : x
  2. Step 2: Convert to fraction form
    9,922/13,692.36 = 5,506/x
  3. Step 3: Cross multiply
    9,922x = 13,692.36 × 5,506
  4. Step 4: Simplify right side
    9,922x = 75,390,134.16
  5. Step 5: Solve for x
    x = 75,390,134.16/9,922
  6. Step 6: Final answer
    x = 7,598.28

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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.