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Finding the Fourth Proportional to 10,609.40, 14,644.92 and 9,111.30

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Solution

The fourth proportional to 10,609.40, 14,644.92 and 9,111.30 is: 12,576.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,609.40 : 14,644.92 = 9,111.30 : x
  2. Step 2: Convert to fraction form
    10,609.40/14,644.92 = 9,111.30/x
  3. Step 3: Cross multiply
    10,609.40x = 14,644.92 × 9,111.30
  4. Step 4: Simplify right side
    10,609.40x = 133,434,259.60
  5. Step 5: Solve for x
    x = 133,434,259.60/10,609.40
  6. Step 6: Final answer
    x = 12,576.99

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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.