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Finding the Fourth Proportional to 7,015.85, 9,723.69 and 6,884.63

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Solution

The fourth proportional to 7,015.85, 9,723.69 and 6,884.63 is: 9,541.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,015.85 : 9,723.69 = 6,884.63 : x
  2. Step 2: Convert to fraction form
    7,015.85/9,723.69 = 6,884.63/x
  3. Step 3: Cross multiply
    7,015.85x = 9,723.69 × 6,884.63
  4. Step 4: Simplify right side
    7,015.85x = 66,944,007.88
  5. Step 5: Solve for x
    x = 66,944,007.88/7,015.85
  6. Step 6: Final answer
    x = 9,541.82

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.