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Finding the Fourth Proportional to 9,725.31, 13,410.90 and 6,535.14

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Solution

The fourth proportional to 9,725.31, 13,410.90 and 6,535.14 is: 9,011.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,725.31 : 13,410.90 = 6,535.14 : x
  2. Step 2: Convert to fraction form
    9,725.31/13,410.90 = 6,535.14/x
  3. Step 3: Cross multiply
    9,725.31x = 13,410.90 × 6,535.14
  4. Step 4: Simplify right side
    9,725.31x = 87,642,109.03
  5. Step 5: Solve for x
    x = 87,642,109.03/9,725.31
  6. Step 6: Final answer
    x = 9,011.75

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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.