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Finding the Fourth Proportional to 7,109.78, 9,809.51 and 4,591.99

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Solution

The fourth proportional to 7,109.78, 9,809.51 and 4,591.99 is: 6,335.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,109.78 : 9,809.51 = 4,591.99 : x
  2. Step 2: Convert to fraction form
    7,109.78/9,809.51 = 4,591.99/x
  3. Step 3: Cross multiply
    7,109.78x = 9,809.51 × 4,591.99
  4. Step 4: Simplify right side
    7,109.78x = 45,045,161.13
  5. Step 5: Solve for x
    x = 45,045,161.13/7,109.78
  6. Step 6: Final answer
    x = 6,335.67

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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.