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Finding the Fourth Proportional to 9,638.70, 14,458.05 and 6,467.55

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Solution

The fourth proportional to 9,638.70, 14,458.05 and 6,467.55 is: 9,701.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638.70 : 14,458.05 = 6,467.55 : x
  2. Step 2: Convert to fraction form
    9,638.70/14,458.05 = 6,467.55/x
  3. Step 3: Cross multiply
    9,638.70x = 14,458.05 × 6,467.55
  4. Step 4: Simplify right side
    9,638.70x = 93,508,161.28
  5. Step 5: Solve for x
    x = 93,508,161.28/9,638.70
  6. Step 6: Final answer
    x = 9,701.33

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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.