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Finding the Fourth Proportional to 9,675.37, 13,354.87 and 6,318.71

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Solution

The fourth proportional to 9,675.37, 13,354.87 and 6,318.71 is: 8,721.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675.37 : 13,354.87 = 6,318.71 : x
  2. Step 2: Convert to fraction form
    9,675.37/13,354.87 = 6,318.71/x
  3. Step 3: Cross multiply
    9,675.37x = 13,354.87 × 6,318.71
  4. Step 4: Simplify right side
    9,675.37x = 84,385,550.62
  5. Step 5: Solve for x
    x = 84,385,550.62/9,675.37
  6. Step 6: Final answer
    x = 8,721.69

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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.