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Finding the Fourth Proportional to 9,894.87, 13,654.53 and 5,918.19

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Solution

The fourth proportional to 9,894.87, 13,654.53 and 5,918.19 is: 8,166.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.87 : 13,654.53 = 5,918.19 : x
  2. Step 2: Convert to fraction form
    9,894.87/13,654.53 = 5,918.19/x
  3. Step 3: Cross multiply
    9,894.87x = 13,654.53 × 5,918.19
  4. Step 4: Simplify right side
    9,894.87x = 80,810,102.90
  5. Step 5: Solve for x
    x = 80,810,102.90/9,894.87
  6. Step 6: Final answer
    x = 8,166.87

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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.