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Finding the Fourth Proportional to 9,499.62, 14,249.03 and 9,277.14

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Solution

The fourth proportional to 9,499.62, 14,249.03 and 9,277.14 is: 13,915.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,499.62 : 14,249.03 = 9,277.14 : x
  2. Step 2: Convert to fraction form
    9,499.62/14,249.03 = 9,277.14/x
  3. Step 3: Cross multiply
    9,499.62x = 14,249.03 × 9,277.14
  4. Step 4: Simplify right side
    9,499.62x = 132,190,199.79
  5. Step 5: Solve for x
    x = 132,190,199.79/9,499.62
  6. Step 6: Final answer
    x = 13,915.31

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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.