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Finding the Fourth Proportional to 6,476.19, 9,714.41 and 2,033.76

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Solution

The fourth proportional to 6,476.19, 9,714.41 and 2,033.76 is: 3,050.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.19 : 9,714.41 = 2,033.76 : x
  2. Step 2: Convert to fraction form
    6,476.19/9,714.41 = 2,033.76/x
  3. Step 3: Cross multiply
    6,476.19x = 9,714.41 × 2,033.76
  4. Step 4: Simplify right side
    6,476.19x = 19,756,778.48
  5. Step 5: Solve for x
    x = 19,756,778.48/6,476.19
  6. Step 6: Final answer
    x = 3,050.68

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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.