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Finding the Fourth Proportional to 9,808.14, 13,522.23 and 8,123.34

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Solution

The fourth proportional to 9,808.14, 13,522.23 and 8,123.34 is: 11,199.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808.14 : 13,522.23 = 8,123.34 : x
  2. Step 2: Convert to fraction form
    9,808.14/13,522.23 = 8,123.34/x
  3. Step 3: Cross multiply
    9,808.14x = 13,522.23 × 8,123.34
  4. Step 4: Simplify right side
    9,808.14x = 109,845,671.85
  5. Step 5: Solve for x
    x = 109,845,671.85/9,808.14
  6. Step 6: Final answer
    x = 11,199.44

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