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Finding the Fourth Proportional to 9,765.54, 14,656.19 and 5,086.98

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Solution

The fourth proportional to 9,765.54, 14,656.19 and 5,086.98 is: 7,634.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.54 : 14,656.19 = 5,086.98 : x
  2. Step 2: Convert to fraction form
    9,765.54/14,656.19 = 5,086.98/x
  3. Step 3: Cross multiply
    9,765.54x = 14,656.19 × 5,086.98
  4. Step 4: Simplify right side
    9,765.54x = 74,555,719.97
  5. Step 5: Solve for x
    x = 74,555,719.97/9,765.54
  6. Step 6: Final answer
    x = 7,634.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.