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Finding the Fourth Proportional to 6,207.24, 9,355.71 and 5,829.96

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Solution

The fourth proportional to 6,207.24, 9,355.71 and 5,829.96 is: 8,787.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,207.24 : 9,355.71 = 5,829.96 : x
  2. Step 2: Convert to fraction form
    6,207.24/9,355.71 = 5,829.96/x
  3. Step 3: Cross multiply
    6,207.24x = 9,355.71 × 5,829.96
  4. Step 4: Simplify right side
    6,207.24x = 54,543,415.07
  5. Step 5: Solve for x
    x = 54,543,415.07/6,207.24
  6. Step 6: Final answer
    x = 8,787.06

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.