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Finding the Fourth Proportional to 10,365.09, 14,314.68 and 7,143.29

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Solution

The fourth proportional to 10,365.09, 14,314.68 and 7,143.29 is: 9,865.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365.09 : 14,314.68 = 7,143.29 : x
  2. Step 2: Convert to fraction form
    10,365.09/14,314.68 = 7,143.29/x
  3. Step 3: Cross multiply
    10,365.09x = 14,314.68 × 7,143.29
  4. Step 4: Simplify right side
    10,365.09x = 102,253,910.50
  5. Step 5: Solve for x
    x = 102,253,910.50/10,365.09
  6. Step 6: Final answer
    x = 9,865.22

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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.