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Finding the Fourth Proportional to 9,822.60, 14,722.18 and 6,844.91

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Solution

The fourth proportional to 9,822.60, 14,722.18 and 6,844.91 is: 10,259.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822.60 : 14,722.18 = 6,844.91 : x
  2. Step 2: Convert to fraction form
    9,822.60/14,722.18 = 6,844.91/x
  3. Step 3: Cross multiply
    9,822.60x = 14,722.18 × 6,844.91
  4. Step 4: Simplify right side
    9,822.60x = 100,772,049.85
  5. Step 5: Solve for x
    x = 100,772,049.85/9,822.60
  6. Step 6: Final answer
    x = 10,259.20

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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.