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Finding the Fourth Proportional to 8,268.39, 12,386.94 and 6,410.40

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Solution

The fourth proportional to 8,268.39, 12,386.94 and 6,410.40 is: 9,603.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,268.39 : 12,386.94 = 6,410.40 : x
  2. Step 2: Convert to fraction form
    8,268.39/12,386.94 = 6,410.40/x
  3. Step 3: Cross multiply
    8,268.39x = 12,386.94 × 6,410.40
  4. Step 4: Simplify right side
    8,268.39x = 79,405,240.18
  5. Step 5: Solve for x
    x = 79,405,240.18/8,268.39
  6. Step 6: Final answer
    x = 9,603.47

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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.