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Finding the Fourth Proportional to 7,201.47, 9,940.82 and 5,630.07

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Solution

The fourth proportional to 7,201.47, 9,940.82 and 5,630.07 is: 7,771.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.47 : 9,940.82 = 5,630.07 : x
  2. Step 2: Convert to fraction form
    7,201.47/9,940.82 = 5,630.07/x
  3. Step 3: Cross multiply
    7,201.47x = 9,940.82 × 5,630.07
  4. Step 4: Simplify right side
    7,201.47x = 55,967,484.31
  5. Step 5: Solve for x
    x = 55,967,484.31/7,201.47
  6. Step 6: Final answer
    x = 7,771.67

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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.