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Finding the Fourth Proportional to 9,214.68, 12,712.26 and 5,855.70

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Solution

The fourth proportional to 9,214.68, 12,712.26 and 5,855.70 is: 8,078.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214.68 : 12,712.26 = 5,855.70 : x
  2. Step 2: Convert to fraction form
    9,214.68/12,712.26 = 5,855.70/x
  3. Step 3: Cross multiply
    9,214.68x = 12,712.26 × 5,855.70
  4. Step 4: Simplify right side
    9,214.68x = 74,439,111.25
  5. Step 5: Solve for x
    x = 74,439,111.25/9,214.68
  6. Step 6: Final answer
    x = 8,078.31

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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.