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Finding the Fourth Proportional to 10,146.06, 14,011.11 and 9,593.82

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Solution

The fourth proportional to 10,146.06, 14,011.11 and 9,593.82 is: 13,248.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,146.06 : 14,011.11 = 9,593.82 : x
  2. Step 2: Convert to fraction form
    10,146.06/14,011.11 = 9,593.82/x
  3. Step 3: Cross multiply
    10,146.06x = 14,011.11 × 9,593.82
  4. Step 4: Simplify right side
    10,146.06x = 134,420,067.34
  5. Step 5: Solve for x
    x = 134,420,067.34/10,146.06
  6. Step 6: Final answer
    x = 13,248.50

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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.