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Finding the Fourth Proportional to 9,919.85, 14,881.14 and 3,347.01

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Solution

The fourth proportional to 9,919.85, 14,881.14 and 3,347.01 is: 5,020.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,919.85 : 14,881.14 = 3,347.01 : x
  2. Step 2: Convert to fraction form
    9,919.85/14,881.14 = 3,347.01/x
  3. Step 3: Cross multiply
    9,919.85x = 14,881.14 × 3,347.01
  4. Step 4: Simplify right side
    9,919.85x = 49,807,324.39
  5. Step 5: Solve for x
    x = 49,807,324.39/9,919.85
  6. Step 6: Final answer
    x = 5,020.98

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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.