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Finding the Fourth Proportional to 6,143.52, 9,216.50 and 1,984.58

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Solution

The fourth proportional to 6,143.52, 9,216.50 and 1,984.58 is: 2,977.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.52 : 9,216.50 = 1,984.58 : x
  2. Step 2: Convert to fraction form
    6,143.52/9,216.50 = 1,984.58/x
  3. Step 3: Cross multiply
    6,143.52x = 9,216.50 × 1,984.58
  4. Step 4: Simplify right side
    6,143.52x = 18,290,881.57
  5. Step 5: Solve for x
    x = 18,290,881.57/6,143.52
  6. Step 6: Final answer
    x = 2,977.26

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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.