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Finding the Fourth Proportional to 9,277.88, 13,913.17 and 3,430.49

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Solution

The fourth proportional to 9,277.88, 13,913.17 and 3,430.49 is: 5,144.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277.88 : 13,913.17 = 3,430.49 : x
  2. Step 2: Convert to fraction form
    9,277.88/13,913.17 = 3,430.49/x
  3. Step 3: Cross multiply
    9,277.88x = 13,913.17 × 3,430.49
  4. Step 4: Simplify right side
    9,277.88x = 47,728,912.41
  5. Step 5: Solve for x
    x = 47,728,912.41/9,277.88
  6. Step 6: Final answer
    x = 5,144.38

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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.