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Finding the Fourth Proportional to 9,710.92, 13,401.54 and 5,462.06

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Solution

The fourth proportional to 9,710.92, 13,401.54 and 5,462.06 is: 7,537.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.92 : 13,401.54 = 5,462.06 : x
  2. Step 2: Convert to fraction form
    9,710.92/13,401.54 = 5,462.06/x
  3. Step 3: Cross multiply
    9,710.92x = 13,401.54 × 5,462.06
  4. Step 4: Simplify right side
    9,710.92x = 73,200,015.57
  5. Step 5: Solve for x
    x = 73,200,015.57/9,710.92
  6. Step 6: Final answer
    x = 7,537.91

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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.