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Finding the Fourth Proportional to 6,215.68, 9,315.20 and 4,564.48

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Solution

The fourth proportional to 6,215.68, 9,315.20 and 4,564.48 is: 6,840.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,215.68 : 9,315.20 = 4,564.48 : x
  2. Step 2: Convert to fraction form
    6,215.68/9,315.20 = 4,564.48/x
  3. Step 3: Cross multiply
    6,215.68x = 9,315.20 × 4,564.48
  4. Step 4: Simplify right side
    6,215.68x = 42,519,044.10
  5. Step 5: Solve for x
    x = 42,519,044.10/6,215.68
  6. Step 6: Final answer
    x = 6,840.61

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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.