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Finding the Fourth Proportional to 6,842.50, 9,446.96 and 5,246.19

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Solution

The fourth proportional to 6,842.50, 9,446.96 and 5,246.19 is: 7,243.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.50 : 9,446.96 = 5,246.19 : x
  2. Step 2: Convert to fraction form
    6,842.50/9,446.96 = 5,246.19/x
  3. Step 3: Cross multiply
    6,842.50x = 9,446.96 × 5,246.19
  4. Step 4: Simplify right side
    6,842.50x = 49,560,547.08
  5. Step 5: Solve for x
    x = 49,560,547.08/6,842.50
  6. Step 6: Final answer
    x = 7,243.05

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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.