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Finding the Fourth Proportional to 7,284.30, 10,914.30 and 6,239.40

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Solution

The fourth proportional to 7,284.30, 10,914.30 and 6,239.40 is: 9,348.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284.30 : 10,914.30 = 6,239.40 : x
  2. Step 2: Convert to fraction form
    7,284.30/10,914.30 = 6,239.40/x
  3. Step 3: Cross multiply
    7,284.30x = 10,914.30 × 6,239.40
  4. Step 4: Simplify right side
    7,284.30x = 68,098,683.42
  5. Step 5: Solve for x
    x = 68,098,683.42/7,284.30
  6. Step 6: Final answer
    x = 9,348.69

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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.