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Finding the Fourth Proportional to 7,974.36, 12,007.86 and 5,909.00

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Solution

The fourth proportional to 7,974.36, 12,007.86 and 5,909.00 is: 8,897.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,974.36 : 12,007.86 = 5,909.00 : x
  2. Step 2: Convert to fraction form
    7,974.36/12,007.86 = 5,909.00/x
  3. Step 3: Cross multiply
    7,974.36x = 12,007.86 × 5,909.00
  4. Step 4: Simplify right side
    7,974.36x = 70,954,384.70
  5. Step 5: Solve for x
    x = 70,954,384.70/7,974.36
  6. Step 6: Final answer
    x = 8,897.82

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.