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Finding the Fourth Proportional to 9,722.18, 14,573.88 and 3,143.90

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Solution

The fourth proportional to 9,722.18, 14,573.88 and 3,143.90 is: 4,712.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.18 : 14,573.88 = 3,143.90 : x
  2. Step 2: Convert to fraction form
    9,722.18/14,573.88 = 3,143.90/x
  3. Step 3: Cross multiply
    9,722.18x = 14,573.88 × 3,143.90
  4. Step 4: Simplify right side
    9,722.18x = 45,818,821.33
  5. Step 5: Solve for x
    x = 45,818,821.33/9,722.18
  6. Step 6: Final answer
    x = 4,712.81

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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.