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Finding the Fourth Proportional to 7,012.95, 9,679.07 and 6,697.65

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Solution

The fourth proportional to 7,012.95, 9,679.07 and 6,697.65 is: 9,243.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,012.95 : 9,679.07 = 6,697.65 : x
  2. Step 2: Convert to fraction form
    7,012.95/9,679.07 = 6,697.65/x
  3. Step 3: Cross multiply
    7,012.95x = 9,679.07 × 6,697.65
  4. Step 4: Simplify right side
    7,012.95x = 64,827,057.39
  5. Step 5: Solve for x
    x = 64,827,057.39/7,012.95
  6. Step 6: Final answer
    x = 9,243.91

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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.