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Finding the Fourth Proportional to 6,700.43, 9,240.54 and 4,182.77

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Solution

The fourth proportional to 6,700.43, 9,240.54 and 4,182.77 is: 5,768.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,700.43 : 9,240.54 = 4,182.77 : x
  2. Step 2: Convert to fraction form
    6,700.43/9,240.54 = 4,182.77/x
  3. Step 3: Cross multiply
    6,700.43x = 9,240.54 × 4,182.77
  4. Step 4: Simplify right side
    6,700.43x = 38,651,078.56
  5. Step 5: Solve for x
    x = 38,651,078.56/6,700.43
  6. Step 6: Final answer
    x = 5,768.45

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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.