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Finding the Fourth Proportional to 6,315.22, 8,716.56 and 4,301.96

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Solution

The fourth proportional to 6,315.22, 8,716.56 and 4,301.96 is: 5,937.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,315.22 : 8,716.56 = 4,301.96 : x
  2. Step 2: Convert to fraction form
    6,315.22/8,716.56 = 4,301.96/x
  3. Step 3: Cross multiply
    6,315.22x = 8,716.56 × 4,301.96
  4. Step 4: Simplify right side
    6,315.22x = 37,498,292.46
  5. Step 5: Solve for x
    x = 37,498,292.46/6,315.22
  6. Step 6: Final answer
    x = 5,937.77

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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.