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Finding the Fourth Proportional to 9,083.72, 13,596.39 and 6,116.69

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Solution

The fourth proportional to 9,083.72, 13,596.39 and 6,116.69 is: 9,155.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,083.72 : 13,596.39 = 6,116.69 : x
  2. Step 2: Convert to fraction form
    9,083.72/13,596.39 = 6,116.69/x
  3. Step 3: Cross multiply
    9,083.72x = 13,596.39 × 6,116.69
  4. Step 4: Simplify right side
    9,083.72x = 83,164,834.77
  5. Step 5: Solve for x
    x = 83,164,834.77/9,083.72
  6. Step 6: Final answer
    x = 9,155.38

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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.