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Finding the Fourth Proportional to 9,592.98, 13,238.55 and 5,401.50

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Solution

The fourth proportional to 9,592.98, 13,238.55 and 5,401.50 is: 7,454.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,592.98 : 13,238.55 = 5,401.50 : x
  2. Step 2: Convert to fraction form
    9,592.98/13,238.55 = 5,401.50/x
  3. Step 3: Cross multiply
    9,592.98x = 13,238.55 × 5,401.50
  4. Step 4: Simplify right side
    9,592.98x = 71,508,027.83
  5. Step 5: Solve for x
    x = 71,508,027.83/9,592.98
  6. Step 6: Final answer
    x = 7,454.20

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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.