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Finding the Fourth Proportional to 8,967.66, 12,370.76 and 5,239.50

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Solution

The fourth proportional to 8,967.66, 12,370.76 and 5,239.50 is: 7,227.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,967.66 : 12,370.76 = 5,239.50 : x
  2. Step 2: Convert to fraction form
    8,967.66/12,370.76 = 5,239.50/x
  3. Step 3: Cross multiply
    8,967.66x = 12,370.76 × 5,239.50
  4. Step 4: Simplify right side
    8,967.66x = 64,816,597.02
  5. Step 5: Solve for x
    x = 64,816,597.02/8,967.66
  6. Step 6: Final answer
    x = 7,227.82

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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.