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Finding the Fourth Proportional to 7,127.34, 9,835.98 and 3,983.72

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Solution

The fourth proportional to 7,127.34, 9,835.98 and 3,983.72 is: 5,497.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,127.34 : 9,835.98 = 3,983.72 : x
  2. Step 2: Convert to fraction form
    7,127.34/9,835.98 = 3,983.72/x
  3. Step 3: Cross multiply
    7,127.34x = 9,835.98 × 3,983.72
  4. Step 4: Simplify right side
    7,127.34x = 39,183,790.25
  5. Step 5: Solve for x
    x = 39,183,790.25/7,127.34
  6. Step 6: Final answer
    x = 5,497.67

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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.