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Finding the Fourth Proportional to 6,818.13, 9,384.64 and 4,825.23

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Solution

The fourth proportional to 6,818.13, 9,384.64 and 4,825.23 is: 6,641.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,818.13 : 9,384.64 = 4,825.23 : x
  2. Step 2: Convert to fraction form
    6,818.13/9,384.64 = 4,825.23/x
  3. Step 3: Cross multiply
    6,818.13x = 9,384.64 × 4,825.23
  4. Step 4: Simplify right side
    6,818.13x = 45,283,046.47
  5. Step 5: Solve for x
    x = 45,283,046.47/6,818.13
  6. Step 6: Final answer
    x = 6,641.56

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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.