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Finding the Fourth Proportional to 6,930.52, 9,544.68 and 6,485.82

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Solution

The fourth proportional to 6,930.52, 9,544.68 and 6,485.82 is: 8,932.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,930.52 : 9,544.68 = 6,485.82 : x
  2. Step 2: Convert to fraction form
    6,930.52/9,544.68 = 6,485.82/x
  3. Step 3: Cross multiply
    6,930.52x = 9,544.68 × 6,485.82
  4. Step 4: Simplify right side
    6,930.52x = 61,905,076.44
  5. Step 5: Solve for x
    x = 61,905,076.44/6,930.52
  6. Step 6: Final answer
    x = 8,932.24

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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.