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Finding the Fourth Proportional to 9,630.18, 13,282.54 and 6,089.96

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Solution

The fourth proportional to 9,630.18, 13,282.54 and 6,089.96 is: 8,399.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,630.18 : 13,282.54 = 6,089.96 : x
  2. Step 2: Convert to fraction form
    9,630.18/13,282.54 = 6,089.96/x
  3. Step 3: Cross multiply
    9,630.18x = 13,282.54 × 6,089.96
  4. Step 4: Simplify right side
    9,630.18x = 80,890,137.30
  5. Step 5: Solve for x
    x = 80,890,137.30/9,630.18
  6. Step 6: Final answer
    x = 8,399.65

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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.