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Finding the Fourth Proportional to 9,282.28, 12,810.22 and 5,303.30

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Solution

The fourth proportional to 9,282.28, 12,810.22 and 5,303.30 is: 7,318.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282.28 : 12,810.22 = 5,303.30 : x
  2. Step 2: Convert to fraction form
    9,282.28/12,810.22 = 5,303.30/x
  3. Step 3: Cross multiply
    9,282.28x = 12,810.22 × 5,303.30
  4. Step 4: Simplify right side
    9,282.28x = 67,936,413.21
  5. Step 5: Solve for x
    x = 67,936,413.21/9,282.28
  6. Step 6: Final answer
    x = 7,318.94

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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.