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Finding the Fourth Proportional to 9,859.50, 13,605.57 and 5,610.43

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Solution

The fourth proportional to 9,859.50, 13,605.57 and 5,610.43 is: 7,742.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,859.50 : 13,605.57 = 5,610.43 : x
  2. Step 2: Convert to fraction form
    9,859.50/13,605.57 = 5,610.43/x
  3. Step 3: Cross multiply
    9,859.50x = 13,605.57 × 5,610.43
  4. Step 4: Simplify right side
    9,859.50x = 76,333,098.10
  5. Step 5: Solve for x
    x = 76,333,098.10/9,859.50
  6. Step 6: Final answer
    x = 7,742.09

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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.