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Finding the Fourth Proportional to 9,791.16, 14,690.84 and 4,241.58

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Solution

The fourth proportional to 9,791.16, 14,690.84 and 4,241.58 is: 6,364.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.16 : 14,690.84 = 4,241.58 : x
  2. Step 2: Convert to fraction form
    9,791.16/14,690.84 = 4,241.58/x
  3. Step 3: Cross multiply
    9,791.16x = 14,690.84 × 4,241.58
  4. Step 4: Simplify right side
    9,791.16x = 62,312,351.92
  5. Step 5: Solve for x
    x = 62,312,351.92/9,791.16
  6. Step 6: Final answer
    x = 6,364.14

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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.