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Finding the Fourth Proportional to 6,456.06, 9,689.67 and 3,684.06

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Solution

The fourth proportional to 6,456.06, 9,689.67 and 3,684.06 is: 5,529.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.06 : 9,689.67 = 3,684.06 : x
  2. Step 2: Convert to fraction form
    6,456.06/9,689.67 = 3,684.06/x
  3. Step 3: Cross multiply
    6,456.06x = 9,689.67 × 3,684.06
  4. Step 4: Simplify right side
    6,456.06x = 35,697,325.66
  5. Step 5: Solve for x
    x = 35,697,325.66/6,456.06
  6. Step 6: Final answer
    x = 5,529.27

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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.