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Finding the Fourth Proportional to 9,713.05, 13,401.69 and 7,055.83

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Solution

The fourth proportional to 9,713.05, 13,401.69 and 7,055.83 is: 9,735.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.05 : 13,401.69 = 7,055.83 : x
  2. Step 2: Convert to fraction form
    9,713.05/13,401.69 = 7,055.83/x
  3. Step 3: Cross multiply
    9,713.05x = 13,401.69 × 7,055.83
  4. Step 4: Simplify right side
    9,713.05x = 94,560,046.35
  5. Step 5: Solve for x
    x = 94,560,046.35/9,713.05
  6. Step 6: Final answer
    x = 9,735.36

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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.