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Finding the Fourth Proportional to 7,205.82, 9,945.27 and 4,062.30

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Solution

The fourth proportional to 7,205.82, 9,945.27 and 4,062.30 is: 5,606.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.82 : 9,945.27 = 4,062.30 : x
  2. Step 2: Convert to fraction form
    7,205.82/9,945.27 = 4,062.30/x
  3. Step 3: Cross multiply
    7,205.82x = 9,945.27 × 4,062.30
  4. Step 4: Simplify right side
    7,205.82x = 40,400,670.32
  5. Step 5: Solve for x
    x = 40,400,670.32/7,205.82
  6. Step 6: Final answer
    x = 5,606.67

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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.