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Finding the Fourth Proportional to 6,236.16, 9,308.61 and 5,498.07

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Solution

The fourth proportional to 6,236.16, 9,308.61 and 5,498.07 is: 8,206.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,236.16 : 9,308.61 = 5,498.07 : x
  2. Step 2: Convert to fraction form
    6,236.16/9,308.61 = 5,498.07/x
  3. Step 3: Cross multiply
    6,236.16x = 9,308.61 × 5,498.07
  4. Step 4: Simplify right side
    6,236.16x = 51,179,389.38
  5. Step 5: Solve for x
    x = 51,179,389.38/6,236.16
  6. Step 6: Final answer
    x = 8,206.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.