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Finding the Fourth Proportional to 7,166.22, 9,882.86 and 4,645.70

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Solution

The fourth proportional to 7,166.22, 9,882.86 and 4,645.70 is: 6,406.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.22 : 9,882.86 = 4,645.70 : x
  2. Step 2: Convert to fraction form
    7,166.22/9,882.86 = 4,645.70/x
  3. Step 3: Cross multiply
    7,166.22x = 9,882.86 × 4,645.70
  4. Step 4: Simplify right side
    7,166.22x = 45,912,802.70
  5. Step 5: Solve for x
    x = 45,912,802.70/7,166.22
  6. Step 6: Final answer
    x = 6,406.84

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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.