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Finding the Fourth Proportional to 6,628.26, 9,941.88 and 3,853.17

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Solution

The fourth proportional to 6,628.26, 9,941.88 and 3,853.17 is: 5,779.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,628.26 : 9,941.88 = 3,853.17 : x
  2. Step 2: Convert to fraction form
    6,628.26/9,941.88 = 3,853.17/x
  3. Step 3: Cross multiply
    6,628.26x = 9,941.88 × 3,853.17
  4. Step 4: Simplify right side
    6,628.26x = 38,307,702.03
  5. Step 5: Solve for x
    x = 38,307,702.03/6,628.26
  6. Step 6: Final answer
    x = 5,779.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.