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Finding the Fourth Proportional to 6,230.52, 9,385.33 and 5,699.32

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Solution

The fourth proportional to 6,230.52, 9,385.33 and 5,699.32 is: 8,585.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,230.52 : 9,385.33 = 5,699.32 : x
  2. Step 2: Convert to fraction form
    6,230.52/9,385.33 = 5,699.32/x
  3. Step 3: Cross multiply
    6,230.52x = 9,385.33 × 5,699.32
  4. Step 4: Simplify right side
    6,230.52x = 53,489,998.98
  5. Step 5: Solve for x
    x = 53,489,998.98/6,230.52
  6. Step 6: Final answer
    x = 8,585.16

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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.