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Finding the Fourth Proportional to 7,166.47, 9,889.73 and 4,023.67

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Solution

The fourth proportional to 7,166.47, 9,889.73 and 4,023.67 is: 5,552.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.47 : 9,889.73 = 4,023.67 : x
  2. Step 2: Convert to fraction form
    7,166.47/9,889.73 = 4,023.67/x
  3. Step 3: Cross multiply
    7,166.47x = 9,889.73 × 4,023.67
  4. Step 4: Simplify right side
    7,166.47x = 39,792,989.79
  5. Step 5: Solve for x
    x = 39,792,989.79/7,166.47
  6. Step 6: Final answer
    x = 5,552.66

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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.