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Finding the Fourth Proportional to 9,713.09, 13,404.02 and 5,521.34

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Solution

The fourth proportional to 9,713.09, 13,404.02 and 5,521.34 is: 7,619.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.09 : 13,404.02 = 5,521.34 : x
  2. Step 2: Convert to fraction form
    9,713.09/13,404.02 = 5,521.34/x
  3. Step 3: Cross multiply
    9,713.09x = 13,404.02 × 5,521.34
  4. Step 4: Simplify right side
    9,713.09x = 74,008,057.16
  5. Step 5: Solve for x
    x = 74,008,057.16/9,713.09
  6. Step 6: Final answer
    x = 7,619.42

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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.