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Finding the Fourth Proportional to 8,966.86, 13,450.16 and 4,033

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Solution

The fourth proportional to 8,966.86, 13,450.16 and 4,033 is: 6,049.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,966.86 : 13,450.16 = 4,033 : x
  2. Step 2: Convert to fraction form
    8,966.86/13,450.16 = 4,033/x
  3. Step 3: Cross multiply
    8,966.86x = 13,450.16 × 4,033
  4. Step 4: Simplify right side
    8,966.86x = 54,244,495.28
  5. Step 5: Solve for x
    x = 54,244,495.28/8,966.86
  6. Step 6: Final answer
    x = 6,049.44

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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.