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Finding the Fourth Proportional to 6,506.86, 9,761.25 and 1,889.26

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Solution

The fourth proportional to 6,506.86, 9,761.25 and 1,889.26 is: 2,834.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.86 : 9,761.25 = 1,889.26 : x
  2. Step 2: Convert to fraction form
    6,506.86/9,761.25 = 1,889.26/x
  3. Step 3: Cross multiply
    6,506.86x = 9,761.25 × 1,889.26
  4. Step 4: Simplify right side
    6,506.86x = 18,441,539.18
  5. Step 5: Solve for x
    x = 18,441,539.18/6,506.86
  6. Step 6: Final answer
    x = 2,834.17

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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.