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Finding the Fourth Proportional to 9,722.70, 14,582.61 and 3,149.46

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Solution

The fourth proportional to 9,722.70, 14,582.61 and 3,149.46 is: 4,723.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.70 : 14,582.61 = 3,149.46 : x
  2. Step 2: Convert to fraction form
    9,722.70/14,582.61 = 3,149.46/x
  3. Step 3: Cross multiply
    9,722.70x = 14,582.61 × 3,149.46
  4. Step 4: Simplify right side
    9,722.70x = 45,927,346.89
  5. Step 5: Solve for x
    x = 45,927,346.89/9,722.70
  6. Step 6: Final answer
    x = 4,723.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.