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Finding the Fourth Proportional to 6,456.69, 9,686.65 and 1,839.69

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Solution

The fourth proportional to 6,456.69, 9,686.65 and 1,839.69 is: 2,760.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.69 : 9,686.65 = 1,839.69 : x
  2. Step 2: Convert to fraction form
    6,456.69/9,686.65 = 1,839.69/x
  3. Step 3: Cross multiply
    6,456.69x = 9,686.65 × 1,839.69
  4. Step 4: Simplify right side
    6,456.69x = 17,820,433.14
  5. Step 5: Solve for x
    x = 17,820,433.14/6,456.69
  6. Step 6: Final answer
    x = 2,760.00

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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.