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Finding the Fourth Proportional to 9,223, 13,799.88 and 8,722.84

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Solution

The fourth proportional to 9,223, 13,799.88 and 8,722.84 is: 13,051.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223 : 13,799.88 = 8,722.84 : x
  2. Step 2: Convert to fraction form
    9,223/13,799.88 = 8,722.84/x
  3. Step 3: Cross multiply
    9,223x = 13,799.88 × 8,722.84
  4. Step 4: Simplify right side
    9,223x = 120,374,145.26
  5. Step 5: Solve for x
    x = 120,374,145.26/9,223
  6. Step 6: Final answer
    x = 13,051.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.