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Finding the Fourth Proportional to 6,315.30, 8,714.91 and 3,958.74

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Solution

The fourth proportional to 6,315.30, 8,714.91 and 3,958.74 is: 5,462.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,315.30 : 8,714.91 = 3,958.74 : x
  2. Step 2: Convert to fraction form
    6,315.30/8,714.91 = 3,958.74/x
  3. Step 3: Cross multiply
    6,315.30x = 8,714.91 × 3,958.74
  4. Step 4: Simplify right side
    6,315.30x = 34,500,062.81
  5. Step 5: Solve for x
    x = 34,500,062.81/6,315.30
  6. Step 6: Final answer
    x = 5,462.93

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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.