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Finding the Fourth Proportional to 7,209.45, 10,814.18 and 6,316.65

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Solution

The fourth proportional to 7,209.45, 10,814.18 and 6,316.65 is: 9,474.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,209.45 : 10,814.18 = 6,316.65 : x
  2. Step 2: Convert to fraction form
    7,209.45/10,814.18 = 6,316.65/x
  3. Step 3: Cross multiply
    7,209.45x = 10,814.18 × 6,316.65
  4. Step 4: Simplify right side
    7,209.45x = 68,309,358.51
  5. Step 5: Solve for x
    x = 68,309,358.51/7,209.45
  6. Step 6: Final answer
    x = 9,474.98

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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.