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Finding the Fourth Proportional to 9,768.78, 14,652.06 and 2,749.52

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Solution

The fourth proportional to 9,768.78, 14,652.06 and 2,749.52 is: 4,123.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768.78 : 14,652.06 = 2,749.52 : x
  2. Step 2: Convert to fraction form
    9,768.78/14,652.06 = 2,749.52/x
  3. Step 3: Cross multiply
    9,768.78x = 14,652.06 × 2,749.52
  4. Step 4: Simplify right side
    9,768.78x = 40,286,132.01
  5. Step 5: Solve for x
    x = 40,286,132.01/9,768.78
  6. Step 6: Final answer
    x = 4,123.97

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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.