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Finding the Fourth Proportional to 10,857.22, 14,993.88 and 9,356.74

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Solution

The fourth proportional to 10,857.22, 14,993.88 and 9,356.74 is: 12,921.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.22 : 14,993.88 = 9,356.74 : x
  2. Step 2: Convert to fraction form
    10,857.22/14,993.88 = 9,356.74/x
  3. Step 3: Cross multiply
    10,857.22x = 14,993.88 × 9,356.74
  4. Step 4: Simplify right side
    10,857.22x = 140,293,836.75
  5. Step 5: Solve for x
    x = 140,293,836.75/10,857.22
  6. Step 6: Final answer
    x = 12,921.71

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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.