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Finding the Fourth Proportional to 6,103.60, 8,309.86 and 6,084.70

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Solution

The fourth proportional to 6,103.60, 8,309.86 and 6,084.70 is: 8,284.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,103.60 : 8,309.86 = 6,084.70 : x
  2. Step 2: Convert to fraction form
    6,103.60/8,309.86 = 6,084.70/x
  3. Step 3: Cross multiply
    6,103.60x = 8,309.86 × 6,084.70
  4. Step 4: Simplify right side
    6,103.60x = 50,563,005.14
  5. Step 5: Solve for x
    x = 50,563,005.14/6,103.60
  6. Step 6: Final answer
    x = 8,284.13

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.