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Finding the Fourth Proportional to 9,806.70, 14,708.55 and 3,232.90

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Solution

The fourth proportional to 9,806.70, 14,708.55 and 3,232.90 is: 4,848.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.70 : 14,708.55 = 3,232.90 : x
  2. Step 2: Convert to fraction form
    9,806.70/14,708.55 = 3,232.90/x
  3. Step 3: Cross multiply
    9,806.70x = 14,708.55 × 3,232.90
  4. Step 4: Simplify right side
    9,806.70x = 47,551,271.30
  5. Step 5: Solve for x
    x = 47,551,271.30/9,806.70
  6. Step 6: Final answer
    x = 4,848.86

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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.