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Finding the Fourth Proportional to 8,642.12, 12,959.94 and 6,814.76

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Solution

The fourth proportional to 8,642.12, 12,959.94 and 6,814.76 is: 10,219.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642.12 : 12,959.94 = 6,814.76 : x
  2. Step 2: Convert to fraction form
    8,642.12/12,959.94 = 6,814.76/x
  3. Step 3: Cross multiply
    8,642.12x = 12,959.94 × 6,814.76
  4. Step 4: Simplify right side
    8,642.12x = 88,318,880.71
  5. Step 5: Solve for x
    x = 88,318,880.71/8,642.12
  6. Step 6: Final answer
    x = 10,219.59

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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.