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Finding the Fourth Proportional to 6,812.61, 9,426.29 and 5,931.33

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Solution

The fourth proportional to 6,812.61, 9,426.29 and 5,931.33 is: 8,206.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812.61 : 9,426.29 = 5,931.33 : x
  2. Step 2: Convert to fraction form
    6,812.61/9,426.29 = 5,931.33/x
  3. Step 3: Cross multiply
    6,812.61x = 9,426.29 × 5,931.33
  4. Step 4: Simplify right side
    6,812.61x = 55,910,407.01
  5. Step 5: Solve for x
    x = 55,910,407.01/6,812.61
  6. Step 6: Final answer
    x = 8,206.90

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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.