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Finding the Fourth Proportional to 6,454.10, 9,682.76 and 1,837.10

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Solution

The fourth proportional to 6,454.10, 9,682.76 and 1,837.10 is: 2,756.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454.10 : 9,682.76 = 1,837.10 : x
  2. Step 2: Convert to fraction form
    6,454.10/9,682.76 = 1,837.10/x
  3. Step 3: Cross multiply
    6,454.10x = 9,682.76 × 1,837.10
  4. Step 4: Simplify right side
    6,454.10x = 17,788,198.40
  5. Step 5: Solve for x
    x = 17,788,198.40/6,454.10
  6. Step 6: Final answer
    x = 2,756.11

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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.