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Finding the Fourth Proportional to 7,120.77, 9,827.58 and 4,289.61

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Solution

The fourth proportional to 7,120.77, 9,827.58 and 4,289.61 is: 5,920.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,120.77 : 9,827.58 = 4,289.61 : x
  2. Step 2: Convert to fraction form
    7,120.77/9,827.58 = 4,289.61/x
  3. Step 3: Cross multiply
    7,120.77x = 9,827.58 × 4,289.61
  4. Step 4: Simplify right side
    7,120.77x = 42,156,485.44
  5. Step 5: Solve for x
    x = 42,156,485.44/7,120.77
  6. Step 6: Final answer
    x = 5,920.21

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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.