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Finding the Fourth Proportional to 6,411.53, 9,616.35 and 2,029.03

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Solution

The fourth proportional to 6,411.53, 9,616.35 and 2,029.03 is: 3,043.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.53 : 9,616.35 = 2,029.03 : x
  2. Step 2: Convert to fraction form
    6,411.53/9,616.35 = 2,029.03/x
  3. Step 3: Cross multiply
    6,411.53x = 9,616.35 × 2,029.03
  4. Step 4: Simplify right side
    6,411.53x = 19,511,862.64
  5. Step 5: Solve for x
    x = 19,511,862.64/6,411.53
  6. Step 6: Final answer
    x = 3,043.25

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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.