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Finding the Fourth Proportional to 6,893.40, 10,340.10 and 6,223.80

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Solution

The fourth proportional to 6,893.40, 10,340.10 and 6,223.80 is: 9,335.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,893.40 : 10,340.10 = 6,223.80 : x
  2. Step 2: Convert to fraction form
    6,893.40/10,340.10 = 6,223.80/x
  3. Step 3: Cross multiply
    6,893.40x = 10,340.10 × 6,223.80
  4. Step 4: Simplify right side
    6,893.40x = 64,354,714.38
  5. Step 5: Solve for x
    x = 64,354,714.38/6,893.40
  6. Step 6: Final answer
    x = 9,335.70

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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.