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Finding the Fourth Proportional to 9,773.34, 14,662.38 and 3,199.56

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Solution

The fourth proportional to 9,773.34, 14,662.38 and 3,199.56 is: 4,800.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.34 : 14,662.38 = 3,199.56 : x
  2. Step 2: Convert to fraction form
    9,773.34/14,662.38 = 3,199.56/x
  3. Step 3: Cross multiply
    9,773.34x = 14,662.38 × 3,199.56
  4. Step 4: Simplify right side
    9,773.34x = 46,913,164.55
  5. Step 5: Solve for x
    x = 46,913,164.55/9,773.34
  6. Step 6: Final answer
    x = 4,800.12

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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.