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Finding the Fourth Proportional to 6,891.40, 9,509.61 and 3,907.72

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Solution

The fourth proportional to 6,891.40, 9,509.61 and 3,907.72 is: 5,392.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,891.40 : 9,509.61 = 3,907.72 : x
  2. Step 2: Convert to fraction form
    6,891.40/9,509.61 = 3,907.72/x
  3. Step 3: Cross multiply
    6,891.40x = 9,509.61 × 3,907.72
  4. Step 4: Simplify right side
    6,891.40x = 37,160,893.19
  5. Step 5: Solve for x
    x = 37,160,893.19/6,891.40
  6. Step 6: Final answer
    x = 5,392.36

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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.