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Finding the Fourth Proportional to 9,768.34, 14,652.52 and 2,372.79

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Solution

The fourth proportional to 9,768.34, 14,652.52 and 2,372.79 is: 3,559.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768.34 : 14,652.52 = 2,372.79 : x
  2. Step 2: Convert to fraction form
    9,768.34/14,652.52 = 2,372.79/x
  3. Step 3: Cross multiply
    9,768.34x = 14,652.52 × 2,372.79
  4. Step 4: Simplify right side
    9,768.34x = 34,767,401.95
  5. Step 5: Solve for x
    x = 34,767,401.95/9,768.34
  6. Step 6: Final answer
    x = 3,559.19

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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.