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Finding the Fourth Proportional to 10,111.32, 13,960.08 and 9,620.28

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Solution

The fourth proportional to 10,111.32, 13,960.08 and 9,620.28 is: 13,282.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,111.32 : 13,960.08 = 9,620.28 : x
  2. Step 2: Convert to fraction form
    10,111.32/13,960.08 = 9,620.28/x
  3. Step 3: Cross multiply
    10,111.32x = 13,960.08 × 9,620.28
  4. Step 4: Simplify right side
    10,111.32x = 134,299,878.42
  5. Step 5: Solve for x
    x = 134,299,878.42/10,111.32
  6. Step 6: Final answer
    x = 13,282.13

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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.