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Finding the Fourth Proportional to 6,702.80, 9,246.82 and 4,185.54

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Solution

The fourth proportional to 6,702.80, 9,246.82 and 4,185.54 is: 5,774.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702.80 : 9,246.82 = 4,185.54 : x
  2. Step 2: Convert to fraction form
    6,702.80/9,246.82 = 4,185.54/x
  3. Step 3: Cross multiply
    6,702.80x = 9,246.82 × 4,185.54
  4. Step 4: Simplify right side
    6,702.80x = 38,702,934.98
  5. Step 5: Solve for x
    x = 38,702,934.98/6,702.80
  6. Step 6: Final answer
    x = 5,774.14

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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.