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Finding the Fourth Proportional to 9,822.22, 14,721.62 and 6,844.55

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Solution

The fourth proportional to 9,822.22, 14,721.62 and 6,844.55 is: 10,258.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822.22 : 14,721.62 = 6,844.55 : x
  2. Step 2: Convert to fraction form
    9,822.22/14,721.62 = 6,844.55/x
  3. Step 3: Cross multiply
    9,822.22x = 14,721.62 × 6,844.55
  4. Step 4: Simplify right side
    9,822.22x = 100,762,807.67
  5. Step 5: Solve for x
    x = 100,762,807.67/9,822.22
  6. Step 6: Final answer
    x = 10,258.66

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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.