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Finding the Fourth Proportional to 9,236.69, 13,859.29 and 5,730.81

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Solution

The fourth proportional to 9,236.69, 13,859.29 and 5,730.81 is: 8,598.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,236.69 : 13,859.29 = 5,730.81 : x
  2. Step 2: Convert to fraction form
    9,236.69/13,859.29 = 5,730.81/x
  3. Step 3: Cross multiply
    9,236.69x = 13,859.29 × 5,730.81
  4. Step 4: Simplify right side
    9,236.69x = 79,424,943.40
  5. Step 5: Solve for x
    x = 79,424,943.40/9,236.69
  6. Step 6: Final answer
    x = 8,598.86

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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.