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Finding the Fourth Proportional to 9,830.20, 14,723.70 and 8,534.20

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Solution

The fourth proportional to 9,830.20, 14,723.70 and 8,534.20 is: 12,782.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.20 : 14,723.70 = 8,534.20 : x
  2. Step 2: Convert to fraction form
    9,830.20/14,723.70 = 8,534.20/x
  3. Step 3: Cross multiply
    9,830.20x = 14,723.70 × 8,534.20
  4. Step 4: Simplify right side
    9,830.20x = 125,655,000.54
  5. Step 5: Solve for x
    x = 125,655,000.54/9,830.20
  6. Step 6: Final answer
    x = 12,782.55

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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.