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Finding the Fourth Proportional to 9,984.34, 14,956.50 and 6,462.19

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Solution

The fourth proportional to 9,984.34, 14,956.50 and 6,462.19 is: 9,680.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984.34 : 14,956.50 = 6,462.19 : x
  2. Step 2: Convert to fraction form
    9,984.34/14,956.50 = 6,462.19/x
  3. Step 3: Cross multiply
    9,984.34x = 14,956.50 × 6,462.19
  4. Step 4: Simplify right side
    9,984.34x = 96,651,744.74
  5. Step 5: Solve for x
    x = 96,651,744.74/9,984.34
  6. Step 6: Final answer
    x = 9,680.33

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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.