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Finding the Fourth Proportional to 9,496.26, 14,232.12 and 5,108.70

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Solution

The fourth proportional to 9,496.26, 14,232.12 and 5,108.70 is: 7,656.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496.26 : 14,232.12 = 5,108.70 : x
  2. Step 2: Convert to fraction form
    9,496.26/14,232.12 = 5,108.70/x
  3. Step 3: Cross multiply
    9,496.26x = 14,232.12 × 5,108.70
  4. Step 4: Simplify right side
    9,496.26x = 72,707,631.44
  5. Step 5: Solve for x
    x = 72,707,631.44/9,496.26
  6. Step 6: Final answer
    x = 7,656.45

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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.