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Finding the Fourth Proportional to 6,689.86, 9,235.35 and 4,333.90

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Solution

The fourth proportional to 6,689.86, 9,235.35 and 4,333.90 is: 5,982.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.86 : 9,235.35 = 4,333.90 : x
  2. Step 2: Convert to fraction form
    6,689.86/9,235.35 = 4,333.90/x
  3. Step 3: Cross multiply
    6,689.86x = 9,235.35 × 4,333.90
  4. Step 4: Simplify right side
    6,689.86x = 40,025,083.37
  5. Step 5: Solve for x
    x = 40,025,083.37/6,689.86
  6. Step 6: Final answer
    x = 5,982.95

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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.