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Finding the Fourth Proportional to 10,368.66, 14,249.76 and 9,712.56

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Solution

The fourth proportional to 10,368.66, 14,249.76 and 9,712.56 is: 13,348.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,368.66 : 14,249.76 = 9,712.56 : x
  2. Step 2: Convert to fraction form
    10,368.66/14,249.76 = 9,712.56/x
  3. Step 3: Cross multiply
    10,368.66x = 14,249.76 × 9,712.56
  4. Step 4: Simplify right side
    10,368.66x = 138,401,648.99
  5. Step 5: Solve for x
    x = 138,401,648.99/10,368.66
  6. Step 6: Final answer
    x = 13,348.07

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.