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Finding the Fourth Proportional to 6,215.65, 9,328.94 and 5,242.43

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Solution

The fourth proportional to 6,215.65, 9,328.94 and 5,242.43 is: 7,868.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,215.65 : 9,328.94 = 5,242.43 : x
  2. Step 2: Convert to fraction form
    6,215.65/9,328.94 = 5,242.43/x
  3. Step 3: Cross multiply
    6,215.65x = 9,328.94 × 5,242.43
  4. Step 4: Simplify right side
    6,215.65x = 48,906,314.92
  5. Step 5: Solve for x
    x = 48,906,314.92/6,215.65
  6. Step 6: Final answer
    x = 7,868.25

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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.