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Finding the Fourth Proportional to 10,808.64, 14,908.32 and 9,141.12

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Solution

The fourth proportional to 10,808.64, 14,908.32 and 9,141.12 is: 12,608.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,808.64 : 14,908.32 = 9,141.12 : x
  2. Step 2: Convert to fraction form
    10,808.64/14,908.32 = 9,141.12/x
  3. Step 3: Cross multiply
    10,808.64x = 14,908.32 × 9,141.12
  4. Step 4: Simplify right side
    10,808.64x = 136,278,742.12
  5. Step 5: Solve for x
    x = 136,278,742.12/10,808.64
  6. Step 6: Final answer
    x = 12,608.32

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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.