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Finding the Fourth Proportional to 9,919.50, 14,882.47 and 7,735.74

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Solution

The fourth proportional to 9,919.50, 14,882.47 and 7,735.74 is: 11,606.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,919.50 : 14,882.47 = 7,735.74 : x
  2. Step 2: Convert to fraction form
    9,919.50/14,882.47 = 7,735.74/x
  3. Step 3: Cross multiply
    9,919.50x = 14,882.47 × 7,735.74
  4. Step 4: Simplify right side
    9,919.50x = 115,126,918.48
  5. Step 5: Solve for x
    x = 115,126,918.48/9,919.50
  6. Step 6: Final answer
    x = 11,606.12

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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.