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Finding the Fourth Proportional to 6,971.94, 9,613.80 and 5,552.82

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Solution

The fourth proportional to 6,971.94, 9,613.80 and 5,552.82 is: 7,656.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.94 : 9,613.80 = 5,552.82 : x
  2. Step 2: Convert to fraction form
    6,971.94/9,613.80 = 5,552.82/x
  3. Step 3: Cross multiply
    6,971.94x = 9,613.80 × 5,552.82
  4. Step 4: Simplify right side
    6,971.94x = 53,383,700.92
  5. Step 5: Solve for x
    x = 53,383,700.92/6,971.94
  6. Step 6: Final answer
    x = 7,656.94

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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.