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Finding the Fourth Proportional to 6,943.79, 9,580.95 and 4,112.06

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Solution

The fourth proportional to 6,943.79, 9,580.95 and 4,112.06 is: 5,673.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,943.79 : 9,580.95 = 4,112.06 : x
  2. Step 2: Convert to fraction form
    6,943.79/9,580.95 = 4,112.06/x
  3. Step 3: Cross multiply
    6,943.79x = 9,580.95 × 4,112.06
  4. Step 4: Simplify right side
    6,943.79x = 39,397,393.35
  5. Step 5: Solve for x
    x = 39,397,393.35/6,943.79
  6. Step 6: Final answer
    x = 5,673.76

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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.