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Finding the Fourth Proportional to 6,293.42, 9,439.48 and 2,133.32

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Solution

The fourth proportional to 6,293.42, 9,439.48 and 2,133.32 is: 3,199.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,293.42 : 9,439.48 = 2,133.32 : x
  2. Step 2: Convert to fraction form
    6,293.42/9,439.48 = 2,133.32/x
  3. Step 3: Cross multiply
    6,293.42x = 9,439.48 × 2,133.32
  4. Step 4: Simplify right side
    6,293.42x = 20,137,386.94
  5. Step 5: Solve for x
    x = 20,137,386.94/6,293.42
  6. Step 6: Final answer
    x = 3,199.75

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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.