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Finding the Fourth Proportional to 12,277.83, 16,943.85 and 6,972.87

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Solution

The fourth proportional to 12,277.83, 16,943.85 and 6,972.87 is: 9,622.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,277.83 : 16,943.85 = 6,972.87 : x
  2. Step 2: Convert to fraction form
    12,277.83/16,943.85 = 6,972.87/x
  3. Step 3: Cross multiply
    12,277.83x = 16,943.85 × 6,972.87
  4. Step 4: Simplify right side
    12,277.83x = 118,147,263.35
  5. Step 5: Solve for x
    x = 118,147,263.35/12,277.83
  6. Step 6: Final answer
    x = 9,622.81

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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.