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Finding the Fourth Proportional to 6,807.47, 9,393.86 and 3,823.24

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Solution

The fourth proportional to 6,807.47, 9,393.86 and 3,823.24 is: 5,275.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,807.47 : 9,393.86 = 3,823.24 : x
  2. Step 2: Convert to fraction form
    6,807.47/9,393.86 = 3,823.24/x
  3. Step 3: Cross multiply
    6,807.47x = 9,393.86 × 3,823.24
  4. Step 4: Simplify right side
    6,807.47x = 35,914,981.31
  5. Step 5: Solve for x
    x = 35,914,981.31/6,807.47
  6. Step 6: Final answer
    x = 5,275.82

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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.