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Finding the Fourth Proportional to 8,274.66, 12,415.20 and 6,537.84

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Solution

The fourth proportional to 8,274.66, 12,415.20 and 6,537.84 is: 9,809.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.66 : 12,415.20 = 6,537.84 : x
  2. Step 2: Convert to fraction form
    8,274.66/12,415.20 = 6,537.84/x
  3. Step 3: Cross multiply
    8,274.66x = 12,415.20 × 6,537.84
  4. Step 4: Simplify right side
    8,274.66x = 81,168,591.17
  5. Step 5: Solve for x
    x = 81,168,591.17/8,274.66
  6. Step 6: Final answer
    x = 9,809.30

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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.