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Finding the Fourth Proportional to 9,940.74, 14,911.12 and 4,671.89

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Solution

The fourth proportional to 9,940.74, 14,911.12 and 4,671.89 is: 7,007.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,940.74 : 14,911.12 = 4,671.89 : x
  2. Step 2: Convert to fraction form
    9,940.74/14,911.12 = 4,671.89/x
  3. Step 3: Cross multiply
    9,940.74x = 14,911.12 × 4,671.89
  4. Step 4: Simplify right side
    9,940.74x = 69,663,112.42
  5. Step 5: Solve for x
    x = 69,663,112.42/9,940.74
  6. Step 6: Final answer
    x = 7,007.84

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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.