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Finding the Fourth Proportional to 6,483.44, 9,725.48 and 3,154.74

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Solution

The fourth proportional to 6,483.44, 9,725.48 and 3,154.74 is: 4,732.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.44 : 9,725.48 = 3,154.74 : x
  2. Step 2: Convert to fraction form
    6,483.44/9,725.48 = 3,154.74/x
  3. Step 3: Cross multiply
    6,483.44x = 9,725.48 × 3,154.74
  4. Step 4: Simplify right side
    6,483.44x = 30,681,356.83
  5. Step 5: Solve for x
    x = 30,681,356.83/6,483.44
  6. Step 6: Final answer
    x = 4,732.27

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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.