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Finding the Fourth Proportional to 9,818.40, 13,540.08 and 7,576.68

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Solution

The fourth proportional to 9,818.40, 13,540.08 and 7,576.68 is: 10,448.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,818.40 : 13,540.08 = 7,576.68 : x
  2. Step 2: Convert to fraction form
    9,818.40/13,540.08 = 7,576.68/x
  3. Step 3: Cross multiply
    9,818.40x = 13,540.08 × 7,576.68
  4. Step 4: Simplify right side
    9,818.40x = 102,588,853.33
  5. Step 5: Solve for x
    x = 102,588,853.33/9,818.40
  6. Step 6: Final answer
    x = 10,448.63

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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.