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Finding the Fourth Proportional to 6,275.40, 9,413.10 and 5,670.60

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Solution

The fourth proportional to 6,275.40, 9,413.10 and 5,670.60 is: 8,505.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275.40 : 9,413.10 = 5,670.60 : x
  2. Step 2: Convert to fraction form
    6,275.40/9,413.10 = 5,670.60/x
  3. Step 3: Cross multiply
    6,275.40x = 9,413.10 × 5,670.60
  4. Step 4: Simplify right side
    6,275.40x = 53,377,924.86
  5. Step 5: Solve for x
    x = 53,377,924.86/6,275.40
  6. Step 6: Final answer
    x = 8,505.90

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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.