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Finding the Fourth Proportional to 9,975.45, 13,765.95 and 5,499.63

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Solution

The fourth proportional to 9,975.45, 13,765.95 and 5,499.63 is: 7,589.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,975.45 : 13,765.95 = 5,499.63 : x
  2. Step 2: Convert to fraction form
    9,975.45/13,765.95 = 5,499.63/x
  3. Step 3: Cross multiply
    9,975.45x = 13,765.95 × 5,499.63
  4. Step 4: Simplify right side
    9,975.45x = 75,707,631.60
  5. Step 5: Solve for x
    x = 75,707,631.60/9,975.45
  6. Step 6: Final answer
    x = 7,589.39

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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.