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Finding the Fourth Proportional to 6,731.32, 9,290.50 and 4,214.60

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Solution

The fourth proportional to 6,731.32, 9,290.50 and 4,214.60 is: 5,816.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,731.32 : 9,290.50 = 4,214.60 : x
  2. Step 2: Convert to fraction form
    6,731.32/9,290.50 = 4,214.60/x
  3. Step 3: Cross multiply
    6,731.32x = 9,290.50 × 4,214.60
  4. Step 4: Simplify right side
    6,731.32x = 39,155,741.30
  5. Step 5: Solve for x
    x = 39,155,741.30/6,731.32
  6. Step 6: Final answer
    x = 5,816.95

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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.