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Finding the Fourth Proportional to 10,114.56, 14,012.28 and 9,872.64

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Solution

The fourth proportional to 10,114.56, 14,012.28 and 9,872.64 is: 13,677.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,114.56 : 14,012.28 = 9,872.64 : x
  2. Step 2: Convert to fraction form
    10,114.56/14,012.28 = 9,872.64/x
  3. Step 3: Cross multiply
    10,114.56x = 14,012.28 × 9,872.64
  4. Step 4: Simplify right side
    10,114.56x = 138,338,196.02
  5. Step 5: Solve for x
    x = 138,338,196.02/10,114.56
  6. Step 6: Final answer
    x = 13,677.13

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.