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Finding the Fourth Proportional to 9,984.50, 14,986.67 and 5,304.55

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Solution

The fourth proportional to 9,984.50, 14,986.67 and 5,304.55 is: 7,962.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984.50 : 14,986.67 = 5,304.55 : x
  2. Step 2: Convert to fraction form
    9,984.50/14,986.67 = 5,304.55/x
  3. Step 3: Cross multiply
    9,984.50x = 14,986.67 × 5,304.55
  4. Step 4: Simplify right side
    9,984.50x = 79,497,438.89
  5. Step 5: Solve for x
    x = 79,497,438.89/9,984.50
  6. Step 6: Final answer
    x = 7,962.09

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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.