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Finding the Fourth Proportional to 9,975.39, 13,766.14 and 5,499.32

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Solution

The fourth proportional to 9,975.39, 13,766.14 and 5,499.32 is: 7,589.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,975.39 : 13,766.14 = 5,499.32 : x
  2. Step 2: Convert to fraction form
    9,975.39/13,766.14 = 5,499.32/x
  3. Step 3: Cross multiply
    9,975.39x = 13,766.14 × 5,499.32
  4. Step 4: Simplify right side
    9,975.39x = 75,704,409.02
  5. Step 5: Solve for x
    x = 75,704,409.02/9,975.39
  6. Step 6: Final answer
    x = 7,589.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.