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Finding the Fourth Proportional to 6,785.86, 9,366.34 and 4,133.24

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Solution

The fourth proportional to 6,785.86, 9,366.34 and 4,133.24 is: 5,705.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,785.86 : 9,366.34 = 4,133.24 : x
  2. Step 2: Convert to fraction form
    6,785.86/9,366.34 = 4,133.24/x
  3. Step 3: Cross multiply
    6,785.86x = 9,366.34 × 4,133.24
  4. Step 4: Simplify right side
    6,785.86x = 38,713,331.14
  5. Step 5: Solve for x
    x = 38,713,331.14/6,785.86
  6. Step 6: Final answer
    x = 5,705.00

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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.