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Finding the Fourth Proportional to 9,415.96, 14,119.50 and 3,488.76

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Solution

The fourth proportional to 9,415.96, 14,119.50 and 3,488.76 is: 5,231.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.96 : 14,119.50 = 3,488.76 : x
  2. Step 2: Convert to fraction form
    9,415.96/14,119.50 = 3,488.76/x
  3. Step 3: Cross multiply
    9,415.96x = 14,119.50 × 3,488.76
  4. Step 4: Simplify right side
    9,415.96x = 49,259,546.82
  5. Step 5: Solve for x
    x = 49,259,546.82/9,415.96
  6. Step 6: Final answer
    x = 5,231.49

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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.