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Finding the Fourth Proportional to 6,897.20, 9,517.86 and 3,913.68

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Solution

The fourth proportional to 6,897.20, 9,517.86 and 3,913.68 is: 5,400.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,897.20 : 9,517.86 = 3,913.68 : x
  2. Step 2: Convert to fraction form
    6,897.20/9,517.86 = 3,913.68/x
  3. Step 3: Cross multiply
    6,897.20x = 9,517.86 × 3,913.68
  4. Step 4: Simplify right side
    6,897.20x = 37,249,858.32
  5. Step 5: Solve for x
    x = 37,249,858.32/6,897.20
  6. Step 6: Final answer
    x = 5,400.72

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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.