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Finding the Fourth Proportional to 8,844.53, 12,205.20 and 4,865.64

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Solution

The fourth proportional to 8,844.53, 12,205.20 and 4,865.64 is: 6,714.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,844.53 : 12,205.20 = 4,865.64 : x
  2. Step 2: Convert to fraction form
    8,844.53/12,205.20 = 4,865.64/x
  3. Step 3: Cross multiply
    8,844.53x = 12,205.20 × 4,865.64
  4. Step 4: Simplify right side
    8,844.53x = 59,386,109.33
  5. Step 5: Solve for x
    x = 59,386,109.33/8,844.53
  6. Step 6: Final answer
    x = 6,714.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.