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Finding the Fourth Proportional to 9,091.17, 13,636.71 and 6,277.23

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Solution

The fourth proportional to 9,091.17, 13,636.71 and 6,277.23 is: 9,415.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,091.17 : 13,636.71 = 6,277.23 : x
  2. Step 2: Convert to fraction form
    9,091.17/13,636.71 = 6,277.23/x
  3. Step 3: Cross multiply
    9,091.17x = 13,636.71 × 6,277.23
  4. Step 4: Simplify right side
    9,091.17x = 85,600,765.11
  5. Step 5: Solve for x
    x = 85,600,765.11/9,091.17
  6. Step 6: Final answer
    x = 9,415.81

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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.