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Finding the Fourth Proportional to 9,818.40, 13,540.04 and 7,576.72

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Solution

The fourth proportional to 9,818.40, 13,540.04 and 7,576.72 is: 10,448.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,818.40 : 13,540.04 = 7,576.72 : x
  2. Step 2: Convert to fraction form
    9,818.40/13,540.04 = 7,576.72/x
  3. Step 3: Cross multiply
    9,818.40x = 13,540.04 × 7,576.72
  4. Step 4: Simplify right side
    9,818.40x = 102,589,091.87
  5. Step 5: Solve for x
    x = 102,589,091.87/9,818.40
  6. Step 6: Final answer
    x = 10,448.66

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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.