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Finding the Fourth Proportional to 7,016.46, 9,682.74 and 4,326.57

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Solution

The fourth proportional to 7,016.46, 9,682.74 and 4,326.57 is: 5,970.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,016.46 : 9,682.74 = 4,326.57 : x
  2. Step 2: Convert to fraction form
    7,016.46/9,682.74 = 4,326.57/x
  3. Step 3: Cross multiply
    7,016.46x = 9,682.74 × 4,326.57
  4. Step 4: Simplify right side
    7,016.46x = 41,893,052.40
  5. Step 5: Solve for x
    x = 41,893,052.40/7,016.46
  6. Step 6: Final answer
    x = 5,970.68

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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.