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Finding the Fourth Proportional to 9,487.59, 14,231.40 and 2,562.09

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Solution

The fourth proportional to 9,487.59, 14,231.40 and 2,562.09 is: 3,843.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,487.59 : 14,231.40 = 2,562.09 : x
  2. Step 2: Convert to fraction form
    9,487.59/14,231.40 = 2,562.09/x
  3. Step 3: Cross multiply
    9,487.59x = 14,231.40 × 2,562.09
  4. Step 4: Simplify right side
    9,487.59x = 36,462,127.63
  5. Step 5: Solve for x
    x = 36,462,127.63/9,487.59
  6. Step 6: Final answer
    x = 3,843.14

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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.