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Finding the Fourth Proportional to 9,886.12, 13,643.78 and 5,907.15

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Solution

The fourth proportional to 9,886.12, 13,643.78 and 5,907.15 is: 8,152.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,886.12 : 13,643.78 = 5,907.15 : x
  2. Step 2: Convert to fraction form
    9,886.12/13,643.78 = 5,907.15/x
  3. Step 3: Cross multiply
    9,886.12x = 13,643.78 × 5,907.15
  4. Step 4: Simplify right side
    9,886.12x = 80,595,757.27
  5. Step 5: Solve for x
    x = 80,595,757.27/9,886.12
  6. Step 6: Final answer
    x = 8,152.42

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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.