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Finding the Fourth Proportional to 9,148.44, 13,706.47 and 4,207.71

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Solution

The fourth proportional to 9,148.44, 13,706.47 and 4,207.71 is: 6,304.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148.44 : 13,706.47 = 4,207.71 : x
  2. Step 2: Convert to fraction form
    9,148.44/13,706.47 = 4,207.71/x
  3. Step 3: Cross multiply
    9,148.44x = 13,706.47 × 4,207.71
  4. Step 4: Simplify right side
    9,148.44x = 57,672,850.88
  5. Step 5: Solve for x
    x = 57,672,850.88/9,148.44
  6. Step 6: Final answer
    x = 6,304.12

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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.