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Finding the Fourth Proportional to 10,297.35, 15,446.03 and 9,606.15

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Solution

The fourth proportional to 10,297.35, 15,446.03 and 9,606.15 is: 14,409.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.35 : 15,446.03 = 9,606.15 : x
  2. Step 2: Convert to fraction form
    10,297.35/15,446.03 = 9,606.15/x
  3. Step 3: Cross multiply
    10,297.35x = 15,446.03 × 9,606.15
  4. Step 4: Simplify right side
    10,297.35x = 148,376,833.05
  5. Step 5: Solve for x
    x = 148,376,833.05/10,297.35
  6. Step 6: Final answer
    x = 14,409.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.