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Finding the Fourth Proportional to 9,637.56, 14,456.70 and 4,711.50

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Solution

The fourth proportional to 9,637.56, 14,456.70 and 4,711.50 is: 7,067.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,637.56 : 14,456.70 = 4,711.50 : x
  2. Step 2: Convert to fraction form
    9,637.56/14,456.70 = 4,711.50/x
  3. Step 3: Cross multiply
    9,637.56x = 14,456.70 × 4,711.50
  4. Step 4: Simplify right side
    9,637.56x = 68,112,742.05
  5. Step 5: Solve for x
    x = 68,112,742.05/9,637.56
  6. Step 6: Final answer
    x = 7,067.43

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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.