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Finding the Fourth Proportional to 9,675.70, 13,349.49 and 6,267.31

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Solution

The fourth proportional to 9,675.70, 13,349.49 and 6,267.31 is: 8,646.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675.70 : 13,349.49 = 6,267.31 : x
  2. Step 2: Convert to fraction form
    9,675.70/13,349.49 = 6,267.31/x
  3. Step 3: Cross multiply
    9,675.70x = 13,349.49 × 6,267.31
  4. Step 4: Simplify right side
    9,675.70x = 83,665,392.17
  5. Step 5: Solve for x
    x = 83,665,392.17/9,675.70
  6. Step 6: Final answer
    x = 8,646.96

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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.