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Finding the Fourth Proportional to 8,219.68, 12,307.65 and 6,422.83

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Solution

The fourth proportional to 8,219.68, 12,307.65 and 6,422.83 is: 9,617.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,219.68 : 12,307.65 = 6,422.83 : x
  2. Step 2: Convert to fraction form
    8,219.68/12,307.65 = 6,422.83/x
  3. Step 3: Cross multiply
    8,219.68x = 12,307.65 × 6,422.83
  4. Step 4: Simplify right side
    8,219.68x = 79,049,888.79
  5. Step 5: Solve for x
    x = 79,049,888.79/8,219.68
  6. Step 6: Final answer
    x = 9,617.15

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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.