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Finding the Fourth Proportional to 8,471.61, 12,696.75 and 6,007.05

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Solution

The fourth proportional to 8,471.61, 12,696.75 and 6,007.05 is: 9,003.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.61 : 12,696.75 = 6,007.05 : x
  2. Step 2: Convert to fraction form
    8,471.61/12,696.75 = 6,007.05/x
  3. Step 3: Cross multiply
    8,471.61x = 12,696.75 × 6,007.05
  4. Step 4: Simplify right side
    8,471.61x = 76,270,012.09
  5. Step 5: Solve for x
    x = 76,270,012.09/8,471.61
  6. Step 6: Final answer
    x = 9,003.01

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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.