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Finding the Fourth Proportional to 6,833.66, 9,435.63 and 6,724.71

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Solution

The fourth proportional to 6,833.66, 9,435.63 and 6,724.71 is: 9,285.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.66 : 9,435.63 = 6,724.71 : x
  2. Step 2: Convert to fraction form
    6,833.66/9,435.63 = 6,724.71/x
  3. Step 3: Cross multiply
    6,833.66x = 9,435.63 × 6,724.71
  4. Step 4: Simplify right side
    6,833.66x = 63,451,875.42
  5. Step 5: Solve for x
    x = 63,451,875.42/6,833.66
  6. Step 6: Final answer
    x = 9,285.20

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