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Finding the Fourth Proportional to 9,480.96, 14,249.76 and 7,848

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Solution

The fourth proportional to 9,480.96, 14,249.76 and 7,848 is: 11,795.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,480.96 : 14,249.76 = 7,848 : x
  2. Step 2: Convert to fraction form
    9,480.96/14,249.76 = 7,848/x
  3. Step 3: Cross multiply
    9,480.96x = 14,249.76 × 7,848
  4. Step 4: Simplify right side
    9,480.96x = 111,832,116.48
  5. Step 5: Solve for x
    x = 111,832,116.48/9,480.96
  6. Step 6: Final answer
    x = 11,795.44

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Why These Related Problems?

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