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Finding the Fourth Proportional to 8,650.71, 11,939.54 and 6,784.47

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Solution

The fourth proportional to 8,650.71, 11,939.54 and 6,784.47 is: 9,363.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,650.71 : 11,939.54 = 6,784.47 : x
  2. Step 2: Convert to fraction form
    8,650.71/11,939.54 = 6,784.47/x
  3. Step 3: Cross multiply
    8,650.71x = 11,939.54 × 6,784.47
  4. Step 4: Simplify right side
    8,650.71x = 81,003,417.02
  5. Step 5: Solve for x
    x = 81,003,417.02/8,650.71
  6. Step 6: Final answer
    x = 9,363.79

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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.