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Finding the Fourth Proportional to 9,938.50, 13,714.63 and 5,958.84

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Solution

The fourth proportional to 9,938.50, 13,714.63 and 5,958.84 is: 8,222.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,938.50 : 13,714.63 = 5,958.84 : x
  2. Step 2: Convert to fraction form
    9,938.50/13,714.63 = 5,958.84/x
  3. Step 3: Cross multiply
    9,938.50x = 13,714.63 × 5,958.84
  4. Step 4: Simplify right side
    9,938.50x = 81,723,285.83
  5. Step 5: Solve for x
    x = 81,723,285.83/9,938.50
  6. Step 6: Final answer
    x = 8,222.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.