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Finding the Fourth Proportional to 9,977.53, 13,767.47 and 5,943.12

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Solution

The fourth proportional to 9,977.53, 13,767.47 and 5,943.12 is: 8,200.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,977.53 : 13,767.47 = 5,943.12 : x
  2. Step 2: Convert to fraction form
    9,977.53/13,767.47 = 5,943.12/x
  3. Step 3: Cross multiply
    9,977.53x = 13,767.47 × 5,943.12
  4. Step 4: Simplify right side
    9,977.53x = 81,821,744.69
  5. Step 5: Solve for x
    x = 81,821,744.69/9,977.53
  6. Step 6: Final answer
    x = 8,200.60

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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.