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Finding the Fourth Proportional to 6,315.23, 8,718.71 and 4,193.64

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Solution

The fourth proportional to 6,315.23, 8,718.71 and 4,193.64 is: 5,789.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,315.23 : 8,718.71 = 4,193.64 : x
  2. Step 2: Convert to fraction form
    6,315.23/8,718.71 = 4,193.64/x
  3. Step 3: Cross multiply
    6,315.23x = 8,718.71 × 4,193.64
  4. Step 4: Simplify right side
    6,315.23x = 36,563,110.04
  5. Step 5: Solve for x
    x = 36,563,110.04/6,315.23
  6. Step 6: Final answer
    x = 5,789.67

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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.