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Finding the Fourth Proportional to 8,966.38, 13,451.72 and 2,810.38

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Solution

The fourth proportional to 8,966.38, 13,451.72 and 2,810.38 is: 4,216.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,966.38 : 13,451.72 = 2,810.38 : x
  2. Step 2: Convert to fraction form
    8,966.38/13,451.72 = 2,810.38/x
  3. Step 3: Cross multiply
    8,966.38x = 13,451.72 × 2,810.38
  4. Step 4: Simplify right side
    8,966.38x = 37,804,384.62
  5. Step 5: Solve for x
    x = 37,804,384.62/8,966.38
  6. Step 6: Final answer
    x = 4,216.24

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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.