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Finding the Fourth Proportional to 7,120.77, 9,827.57 and 4,289.62

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Solution

The fourth proportional to 7,120.77, 9,827.57 and 4,289.62 is: 5,920.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,120.77 : 9,827.57 = 4,289.62 : x
  2. Step 2: Convert to fraction form
    7,120.77/9,827.57 = 4,289.62/x
  3. Step 3: Cross multiply
    7,120.77x = 9,827.57 × 4,289.62
  4. Step 4: Simplify right side
    7,120.77x = 42,156,540.82
  5. Step 5: Solve for x
    x = 42,156,540.82/7,120.77
  6. Step 6: Final answer
    x = 5,920.22

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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.