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Finding the Fourth Proportional to 6,296.68, 8,684.90 and 4,618.60

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Solution

The fourth proportional to 6,296.68, 8,684.90 and 4,618.60 is: 6,370.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.68 : 8,684.90 = 4,618.60 : x
  2. Step 2: Convert to fraction form
    6,296.68/8,684.90 = 4,618.60/x
  3. Step 3: Cross multiply
    6,296.68x = 8,684.90 × 4,618.60
  4. Step 4: Simplify right side
    6,296.68x = 40,112,079.14
  5. Step 5: Solve for x
    x = 40,112,079.14/6,296.68
  6. Step 6: Final answer
    x = 6,370.35

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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.