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Finding the Fourth Proportional to 7,195.88, 9,930.25 and 4,009.14

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Solution

The fourth proportional to 7,195.88, 9,930.25 and 4,009.14 is: 5,532.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,195.88 : 9,930.25 = 4,009.14 : x
  2. Step 2: Convert to fraction form
    7,195.88/9,930.25 = 4,009.14/x
  3. Step 3: Cross multiply
    7,195.88x = 9,930.25 × 4,009.14
  4. Step 4: Simplify right side
    7,195.88x = 39,811,762.49
  5. Step 5: Solve for x
    x = 39,811,762.49/7,195.88
  6. Step 6: Final answer
    x = 5,532.58

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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.