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Finding the Fourth Proportional to 9,876.78, 14,822.46 and 4,682.70

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Solution

The fourth proportional to 9,876.78, 14,822.46 and 4,682.70 is: 7,027.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.78 : 14,822.46 = 4,682.70 : x
  2. Step 2: Convert to fraction form
    9,876.78/14,822.46 = 4,682.70/x
  3. Step 3: Cross multiply
    9,876.78x = 14,822.46 × 4,682.70
  4. Step 4: Simplify right side
    9,876.78x = 69,409,133.44
  5. Step 5: Solve for x
    x = 69,409,133.44/9,876.78
  6. Step 6: Final answer
    x = 7,027.51

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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.