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Finding the Fourth Proportional to 9,631.40, 14,408.70 and 8,709.80

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Solution

The fourth proportional to 9,631.40, 14,408.70 and 8,709.80 is: 13,029.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,631.40 : 14,408.70 = 8,709.80 : x
  2. Step 2: Convert to fraction form
    9,631.40/14,408.70 = 8,709.80/x
  3. Step 3: Cross multiply
    9,631.40x = 14,408.70 × 8,709.80
  4. Step 4: Simplify right side
    9,631.40x = 125,496,895.26
  5. Step 5: Solve for x
    x = 125,496,895.26/9,631.40
  6. Step 6: Final answer
    x = 13,029.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.