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Finding the Fourth Proportional to 7,172.61, 9,906.48 and 4,778.64

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Solution

The fourth proportional to 7,172.61, 9,906.48 and 4,778.64 is: 6,600.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,172.61 : 9,906.48 = 4,778.64 : x
  2. Step 2: Convert to fraction form
    7,172.61/9,906.48 = 4,778.64/x
  3. Step 3: Cross multiply
    7,172.61x = 9,906.48 × 4,778.64
  4. Step 4: Simplify right side
    7,172.61x = 47,339,501.59
  5. Step 5: Solve for x
    x = 47,339,501.59/7,172.61
  6. Step 6: Final answer
    x = 6,600.04

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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.