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Finding the Fourth Proportional to 7,020.46, 9,680.70 and 6,917.06

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Solution

The fourth proportional to 7,020.46, 9,680.70 and 6,917.06 is: 9,538.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,020.46 : 9,680.70 = 6,917.06 : x
  2. Step 2: Convert to fraction form
    7,020.46/9,680.70 = 6,917.06/x
  3. Step 3: Cross multiply
    7,020.46x = 9,680.70 × 6,917.06
  4. Step 4: Simplify right side
    7,020.46x = 66,961,982.74
  5. Step 5: Solve for x
    x = 66,961,982.74/7,020.46
  6. Step 6: Final answer
    x = 9,538.12

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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.