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Finding the Fourth Proportional to 9,277.34, 13,899.27 and 6,149.93

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Solution

The fourth proportional to 9,277.34, 13,899.27 and 6,149.93 is: 9,213.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277.34 : 13,899.27 = 6,149.93 : x
  2. Step 2: Convert to fraction form
    9,277.34/13,899.27 = 6,149.93/x
  3. Step 3: Cross multiply
    9,277.34x = 13,899.27 × 6,149.93
  4. Step 4: Simplify right side
    9,277.34x = 85,479,537.55
  5. Step 5: Solve for x
    x = 85,479,537.55/9,277.34
  6. Step 6: Final answer
    x = 9,213.80

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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.