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Finding the Fourth Proportional to 6,395.84, 9,594.10 and 2,013.63

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Solution

The fourth proportional to 6,395.84, 9,594.10 and 2,013.63 is: 3,020.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,395.84 : 9,594.10 = 2,013.63 : x
  2. Step 2: Convert to fraction form
    6,395.84/9,594.10 = 2,013.63/x
  3. Step 3: Cross multiply
    6,395.84x = 9,594.10 × 2,013.63
  4. Step 4: Simplify right side
    6,395.84x = 19,319,003.75
  5. Step 5: Solve for x
    x = 19,319,003.75/6,395.84
  6. Step 6: Final answer
    x = 3,020.56

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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.