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Finding the Fourth Proportional to 7,109.10, 9,809.10 and 5,427.54

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Solution

The fourth proportional to 7,109.10, 9,809.10 and 5,427.54 is: 7,488.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,109.10 : 9,809.10 = 5,427.54 : x
  2. Step 2: Convert to fraction form
    7,109.10/9,809.10 = 5,427.54/x
  3. Step 3: Cross multiply
    7,109.10x = 9,809.10 × 5,427.54
  4. Step 4: Simplify right side
    7,109.10x = 53,239,282.61
  5. Step 5: Solve for x
    x = 53,239,282.61/7,109.10
  6. Step 6: Final answer
    x = 7,488.89

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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.