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Finding the Fourth Proportional to 9,700.79, 14,553.88 and 3,861.50

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Solution

The fourth proportional to 9,700.79, 14,553.88 and 3,861.50 is: 5,793.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.79 : 14,553.88 = 3,861.50 : x
  2. Step 2: Convert to fraction form
    9,700.79/14,553.88 = 3,861.50/x
  3. Step 3: Cross multiply
    9,700.79x = 14,553.88 × 3,861.50
  4. Step 4: Simplify right side
    9,700.79x = 56,199,824.70
  5. Step 5: Solve for x
    x = 56,199,824.70/9,700.79
  6. Step 6: Final answer
    x = 5,793.32

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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.