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Finding the Fourth Proportional to 6,708.16, 9,257.29 and 4,191.73

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Solution

The fourth proportional to 6,708.16, 9,257.29 and 4,191.73 is: 5,784.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,708.16 : 9,257.29 = 4,191.73 : x
  2. Step 2: Convert to fraction form
    6,708.16/9,257.29 = 4,191.73/x
  3. Step 3: Cross multiply
    6,708.16x = 9,257.29 × 4,191.73
  4. Step 4: Simplify right side
    6,708.16x = 38,804,026.59
  5. Step 5: Solve for x
    x = 38,804,026.59/6,708.16
  6. Step 6: Final answer
    x = 5,784.60

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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.