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Finding the Fourth Proportional to 9,849.50, 13,592.32 and 5,658.56

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Solution

The fourth proportional to 9,849.50, 13,592.32 and 5,658.56 is: 7,808.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,849.50 : 13,592.32 = 5,658.56 : x
  2. Step 2: Convert to fraction form
    9,849.50/13,592.32 = 5,658.56/x
  3. Step 3: Cross multiply
    9,849.50x = 13,592.32 × 5,658.56
  4. Step 4: Simplify right side
    9,849.50x = 76,912,958.26
  5. Step 5: Solve for x
    x = 76,912,958.26/9,849.50
  6. Step 6: Final answer
    x = 7,808.82

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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.