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Finding the Fourth Proportional to 10,140.73, 14,003.82 and 9,588.51

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Solution

The fourth proportional to 10,140.73, 14,003.82 and 9,588.51 is: 13,241.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,140.73 : 14,003.82 = 9,588.51 : x
  2. Step 2: Convert to fraction form
    10,140.73/14,003.82 = 9,588.51/x
  3. Step 3: Cross multiply
    10,140.73x = 14,003.82 × 9,588.51
  4. Step 4: Simplify right side
    10,140.73x = 134,275,768.11
  5. Step 5: Solve for x
    x = 134,275,768.11/10,140.73
  6. Step 6: Final answer
    x = 13,241.23

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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.