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Finding the Fourth Proportional to 9,857.60, 14,789.28 and 5,858.68

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Solution

The fourth proportional to 9,857.60, 14,789.28 and 5,858.68 is: 8,789.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.60 : 14,789.28 = 5,858.68 : x
  2. Step 2: Convert to fraction form
    9,857.60/14,789.28 = 5,858.68/x
  3. Step 3: Cross multiply
    9,857.60x = 14,789.28 × 5,858.68
  4. Step 4: Simplify right side
    9,857.60x = 86,645,671.68
  5. Step 5: Solve for x
    x = 86,645,671.68/9,857.60
  6. Step 6: Final answer
    x = 8,789.73

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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.