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Finding the Fourth Proportional to 9,704.09, 14,576.86 and 6,948.47

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Solution

The fourth proportional to 9,704.09, 14,576.86 and 6,948.47 is: 10,437.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.09 : 14,576.86 = 6,948.47 : x
  2. Step 2: Convert to fraction form
    9,704.09/14,576.86 = 6,948.47/x
  3. Step 3: Cross multiply
    9,704.09x = 14,576.86 × 6,948.47
  4. Step 4: Simplify right side
    9,704.09x = 101,286,919.53
  5. Step 5: Solve for x
    x = 101,286,919.53/9,704.09
  6. Step 6: Final answer
    x = 10,437.55

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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.