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Finding the Fourth Proportional to 8,659.66, 11,946.82 and 6,643.44

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Solution

The fourth proportional to 8,659.66, 11,946.82 and 6,643.44 is: 9,165.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,659.66 : 11,946.82 = 6,643.44 : x
  2. Step 2: Convert to fraction form
    8,659.66/11,946.82 = 6,643.44/x
  3. Step 3: Cross multiply
    8,659.66x = 11,946.82 × 6,643.44
  4. Step 4: Simplify right side
    8,659.66x = 79,367,981.86
  5. Step 5: Solve for x
    x = 79,367,981.86/8,659.66
  6. Step 6: Final answer
    x = 9,165.25

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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.