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Finding the Fourth Proportional to 6,708.91, 9,258.32 and 4,191.05

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Solution

The fourth proportional to 6,708.91, 9,258.32 and 4,191.05 is: 5,783.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,708.91 : 9,258.32 = 4,191.05 : x
  2. Step 2: Convert to fraction form
    6,708.91/9,258.32 = 4,191.05/x
  3. Step 3: Cross multiply
    6,708.91x = 9,258.32 × 4,191.05
  4. Step 4: Simplify right side
    6,708.91x = 38,802,046.22
  5. Step 5: Solve for x
    x = 38,802,046.22/6,708.91
  6. Step 6: Final answer
    x = 5,783.66

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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.