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Finding the Fourth Proportional to 6,862.81, 9,467.18 and 4,340.67

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Solution

The fourth proportional to 6,862.81, 9,467.18 and 4,340.67 is: 5,987.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,862.81 : 9,467.18 = 4,340.67 : x
  2. Step 2: Convert to fraction form
    6,862.81/9,467.18 = 4,340.67/x
  3. Step 3: Cross multiply
    6,862.81x = 9,467.18 × 4,340.67
  4. Step 4: Simplify right side
    6,862.81x = 41,093,904.21
  5. Step 5: Solve for x
    x = 41,093,904.21/6,862.81
  6. Step 6: Final answer
    x = 5,987.92

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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.