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Finding the Fourth Proportional to 9,984.46, 14,971.46 and 4,435.42

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Solution

The fourth proportional to 9,984.46, 14,971.46 and 4,435.42 is: 6,650.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984.46 : 14,971.46 = 4,435.42 : x
  2. Step 2: Convert to fraction form
    9,984.46/14,971.46 = 4,435.42/x
  3. Step 3: Cross multiply
    9,984.46x = 14,971.46 × 4,435.42
  4. Step 4: Simplify right side
    9,984.46x = 66,404,713.11
  5. Step 5: Solve for x
    x = 66,404,713.11/9,984.46
  6. Step 6: Final answer
    x = 6,650.81

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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.