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Finding the Fourth Proportional to 9,652.84, 14,471.58 and 4,177

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Solution

The fourth proportional to 9,652.84, 14,471.58 and 4,177 is: 6,262.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.84 : 14,471.58 = 4,177 : x
  2. Step 2: Convert to fraction form
    9,652.84/14,471.58 = 4,177/x
  3. Step 3: Cross multiply
    9,652.84x = 14,471.58 × 4,177
  4. Step 4: Simplify right side
    9,652.84x = 60,447,789.66
  5. Step 5: Solve for x
    x = 60,447,789.66/9,652.84
  6. Step 6: Final answer
    x = 6,262.18

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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.