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Finding the Fourth Proportional to 9,776.70, 14,663.57 and 3,202.88

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Solution

The fourth proportional to 9,776.70, 14,663.57 and 3,202.88 is: 4,803.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.70 : 14,663.57 = 3,202.88 : x
  2. Step 2: Convert to fraction form
    9,776.70/14,663.57 = 3,202.88/x
  3. Step 3: Cross multiply
    9,776.70x = 14,663.57 × 3,202.88
  4. Step 4: Simplify right side
    9,776.70x = 46,965,565.75
  5. Step 5: Solve for x
    x = 46,965,565.75/9,776.70
  6. Step 6: Final answer
    x = 4,803.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.