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Finding the Fourth Proportional to 6,784.92, 9,361.50 and 4,132.14

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Solution

The fourth proportional to 6,784.92, 9,361.50 and 4,132.14 is: 5,701.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784.92 : 9,361.50 = 4,132.14 : x
  2. Step 2: Convert to fraction form
    6,784.92/9,361.50 = 4,132.14/x
  3. Step 3: Cross multiply
    6,784.92x = 9,361.50 × 4,132.14
  4. Step 4: Simplify right side
    6,784.92x = 38,683,028.61
  5. Step 5: Solve for x
    x = 38,683,028.61/6,784.92
  6. Step 6: Final answer
    x = 5,701.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.