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Finding the Fourth Proportional to 8,284.36, 12,417.90 and 6,189.64

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Solution

The fourth proportional to 8,284.36, 12,417.90 and 6,189.64 is: 9,278.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.36 : 12,417.90 = 6,189.64 : x
  2. Step 2: Convert to fraction form
    8,284.36/12,417.90 = 6,189.64/x
  3. Step 3: Cross multiply
    8,284.36x = 12,417.90 × 6,189.64
  4. Step 4: Simplify right side
    8,284.36x = 76,862,330.56
  5. Step 5: Solve for x
    x = 76,862,330.56/8,284.36
  6. Step 6: Final answer
    x = 9,278.00

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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.