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Finding the Fourth Proportional to 6,426.84, 9,638.82 and 1,810.20

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Solution

The fourth proportional to 6,426.84, 9,638.82 and 1,810.20 is: 2,714.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,426.84 : 9,638.82 = 1,810.20 : x
  2. Step 2: Convert to fraction form
    6,426.84/9,638.82 = 1,810.20/x
  3. Step 3: Cross multiply
    6,426.84x = 9,638.82 × 1,810.20
  4. Step 4: Simplify right side
    6,426.84x = 17,448,191.96
  5. Step 5: Solve for x
    x = 17,448,191.96/6,426.84
  6. Step 6: Final answer
    x = 2,714.89

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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.