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Finding the Fourth Proportional to 9,722.68, 14,582.40 and 3,153.58

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Solution

The fourth proportional to 9,722.68, 14,582.40 and 3,153.58 is: 4,729.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.68 : 14,582.40 = 3,153.58 : x
  2. Step 2: Convert to fraction form
    9,722.68/14,582.40 = 3,153.58/x
  3. Step 3: Cross multiply
    9,722.68x = 14,582.40 × 3,153.58
  4. Step 4: Simplify right side
    9,722.68x = 45,986,764.99
  5. Step 5: Solve for x
    x = 45,986,764.99/9,722.68
  6. Step 6: Final answer
    x = 4,729.84

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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.