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Finding the Fourth Proportional to 9,770.76, 14,655.63 and 3,196.08

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Solution

The fourth proportional to 9,770.76, 14,655.63 and 3,196.08 is: 4,793.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.76 : 14,655.63 = 3,196.08 : x
  2. Step 2: Convert to fraction form
    9,770.76/14,655.63 = 3,196.08/x
  3. Step 3: Cross multiply
    9,770.76x = 14,655.63 × 3,196.08
  4. Step 4: Simplify right side
    9,770.76x = 46,840,565.93
  5. Step 5: Solve for x
    x = 46,840,565.93/9,770.76
  6. Step 6: Final answer
    x = 4,793.95

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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.