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Finding the Fourth Proportional to 9,494.99, 13,102.06 and 5,665.92

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Solution

The fourth proportional to 9,494.99, 13,102.06 and 5,665.92 is: 7,818.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.99 : 13,102.06 = 5,665.92 : x
  2. Step 2: Convert to fraction form
    9,494.99/13,102.06 = 5,665.92/x
  3. Step 3: Cross multiply
    9,494.99x = 13,102.06 × 5,665.92
  4. Step 4: Simplify right side
    9,494.99x = 74,235,223.80
  5. Step 5: Solve for x
    x = 74,235,223.80/9,494.99
  6. Step 6: Final answer
    x = 7,818.36

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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.