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Finding the Fourth Proportional to 6,490.07, 9,711.48 and 5,622.70

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Solution

The fourth proportional to 6,490.07, 9,711.48 and 5,622.70 is: 8,413.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.07 : 9,711.48 = 5,622.70 : x
  2. Step 2: Convert to fraction form
    6,490.07/9,711.48 = 5,622.70/x
  3. Step 3: Cross multiply
    6,490.07x = 9,711.48 × 5,622.70
  4. Step 4: Simplify right side
    6,490.07x = 54,604,738.60
  5. Step 5: Solve for x
    x = 54,604,738.60/6,490.07
  6. Step 6: Final answer
    x = 8,413.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.