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Finding the Fourth Proportional to 9,958.34, 13,740.44 and 5,710.77

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Solution

The fourth proportional to 9,958.34, 13,740.44 and 5,710.77 is: 7,879.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,958.34 : 13,740.44 = 5,710.77 : x
  2. Step 2: Convert to fraction form
    9,958.34/13,740.44 = 5,710.77/x
  3. Step 3: Cross multiply
    9,958.34x = 13,740.44 × 5,710.77
  4. Step 4: Simplify right side
    9,958.34x = 78,468,463.98
  5. Step 5: Solve for x
    x = 78,468,463.98/9,958.34
  6. Step 6: Final answer
    x = 7,879.67

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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.