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Finding the Fourth Proportional to 9,984.79, 13,780.70 and 5,795.47

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Solution

The fourth proportional to 9,984.79, 13,780.70 and 5,795.47 is: 7,998.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984.79 : 13,780.70 = 5,795.47 : x
  2. Step 2: Convert to fraction form
    9,984.79/13,780.70 = 5,795.47/x
  3. Step 3: Cross multiply
    9,984.79x = 13,780.70 × 5,795.47
  4. Step 4: Simplify right side
    9,984.79x = 79,865,633.43
  5. Step 5: Solve for x
    x = 79,865,633.43/9,984.79
  6. Step 6: Final answer
    x = 7,998.73

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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.