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Finding the Fourth Proportional to 9,209.84, 13,749.10 and 8,885.84

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Solution

The fourth proportional to 9,209.84, 13,749.10 and 8,885.84 is: 13,265.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.84 : 13,749.10 = 8,885.84 : x
  2. Step 2: Convert to fraction form
    9,209.84/13,749.10 = 8,885.84/x
  3. Step 3: Cross multiply
    9,209.84x = 13,749.10 × 8,885.84
  4. Step 4: Simplify right side
    9,209.84x = 122,172,302.74
  5. Step 5: Solve for x
    x = 122,172,302.74/9,209.84
  6. Step 6: Final answer
    x = 13,265.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.