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Finding the Fourth Proportional to 7,040.80, 9,716.96 and 3,897.60

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Solution

The fourth proportional to 7,040.80, 9,716.96 and 3,897.60 is: 5,379.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,040.80 : 9,716.96 = 3,897.60 : x
  2. Step 2: Convert to fraction form
    7,040.80/9,716.96 = 3,897.60/x
  3. Step 3: Cross multiply
    7,040.80x = 9,716.96 × 3,897.60
  4. Step 4: Simplify right side
    7,040.80x = 37,872,823.30
  5. Step 5: Solve for x
    x = 37,872,823.30/7,040.80
  6. Step 6: Final answer
    x = 5,379.05

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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.