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Finding the Fourth Proportional to 9,815.81, 13,541.34 and 5,834.66

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Solution

The fourth proportional to 9,815.81, 13,541.34 and 5,834.66 is: 8,049.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,815.81 : 13,541.34 = 5,834.66 : x
  2. Step 2: Convert to fraction form
    9,815.81/13,541.34 = 5,834.66/x
  3. Step 3: Cross multiply
    9,815.81x = 13,541.34 × 5,834.66
  4. Step 4: Simplify right side
    9,815.81x = 79,009,069.02
  5. Step 5: Solve for x
    x = 79,009,069.02/9,815.81
  6. Step 6: Final answer
    x = 8,049.17

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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.