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Finding the Fourth Proportional to 8,966.38, 13,451.13 and 3,420.22

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Solution

The fourth proportional to 8,966.38, 13,451.13 and 3,420.22 is: 5,130.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,966.38 : 13,451.13 = 3,420.22 : x
  2. Step 2: Convert to fraction form
    8,966.38/13,451.13 = 3,420.22/x
  3. Step 3: Cross multiply
    8,966.38x = 13,451.13 × 3,420.22
  4. Step 4: Simplify right side
    8,966.38x = 46,005,823.85
  5. Step 5: Solve for x
    x = 46,005,823.85/8,966.38
  6. Step 6: Final answer
    x = 5,130.93

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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.