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Finding the Fourth Proportional to 9,097.43, 13,646.14 and 2,857.93

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Solution

The fourth proportional to 9,097.43, 13,646.14 and 2,857.93 is: 4,286.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097.43 : 13,646.14 = 2,857.93 : x
  2. Step 2: Convert to fraction form
    9,097.43/13,646.14 = 2,857.93/x
  3. Step 3: Cross multiply
    9,097.43x = 13,646.14 × 2,857.93
  4. Step 4: Simplify right side
    9,097.43x = 38,999,712.89
  5. Step 5: Solve for x
    x = 38,999,712.89/9,097.43
  6. Step 6: Final answer
    x = 4,286.89

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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.