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Finding the Fourth Proportional to 9,677.53, 14,496.86 and 8,190.37

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Solution

The fourth proportional to 9,677.53, 14,496.86 and 8,190.37 is: 12,269.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.53 : 14,496.86 = 8,190.37 : x
  2. Step 2: Convert to fraction form
    9,677.53/14,496.86 = 8,190.37/x
  3. Step 3: Cross multiply
    9,677.53x = 14,496.86 × 8,190.37
  4. Step 4: Simplify right side
    9,677.53x = 118,734,606.29
  5. Step 5: Solve for x
    x = 118,734,606.29/9,677.53
  6. Step 6: Final answer
    x = 12,269.10

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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.