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Finding the Fourth Proportional to 9,212.84, 13,848.42 and 7,929.80

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Solution

The fourth proportional to 9,212.84, 13,848.42 and 7,929.80 is: 11,919.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.84 : 13,848.42 = 7,929.80 : x
  2. Step 2: Convert to fraction form
    9,212.84/13,848.42 = 7,929.80/x
  3. Step 3: Cross multiply
    9,212.84x = 13,848.42 × 7,929.80
  4. Step 4: Simplify right side
    9,212.84x = 109,815,200.92
  5. Step 5: Solve for x
    x = 109,815,200.92/9,212.84
  6. Step 6: Final answer
    x = 11,919.80

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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.