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Finding the Fourth Proportional to 4,643.39, 6,963.77 and 1,311.41

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Solution

The fourth proportional to 4,643.39, 6,963.77 and 1,311.41 is: 1,966.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.39 : 6,963.77 = 1,311.41 : x
  2. Step 2: Convert to fraction form
    4,643.39/6,963.77 = 1,311.41/x
  3. Step 3: Cross multiply
    4,643.39x = 6,963.77 × 1,311.41
  4. Step 4: Simplify right side
    4,643.39x = 9,132,316.24
  5. Step 5: Solve for x
    x = 9,132,316.24/4,643.39
  6. Step 6: Final answer
    x = 1,966.74

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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.