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Finding the Fourth Proportional to 9,817.91, 13,552.04 and 6,041.23

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Solution

The fourth proportional to 9,817.91, 13,552.04 and 6,041.23 is: 8,338.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,817.91 : 13,552.04 = 6,041.23 : x
  2. Step 2: Convert to fraction form
    9,817.91/13,552.04 = 6,041.23/x
  3. Step 3: Cross multiply
    9,817.91x = 13,552.04 × 6,041.23
  4. Step 4: Simplify right side
    9,817.91x = 81,870,922.85
  5. Step 5: Solve for x
    x = 81,870,922.85/9,817.91
  6. Step 6: Final answer
    x = 8,338.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.