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Finding the Fourth Proportional to 9,290.93, 12,818.35 and 5,309.22

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Solution

The fourth proportional to 9,290.93, 12,818.35 and 5,309.22 is: 7,324.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,290.93 : 12,818.35 = 5,309.22 : x
  2. Step 2: Convert to fraction form
    9,290.93/12,818.35 = 5,309.22/x
  3. Step 3: Cross multiply
    9,290.93x = 12,818.35 × 5,309.22
  4. Step 4: Simplify right side
    9,290.93x = 68,055,458.84
  5. Step 5: Solve for x
    x = 68,055,458.84/9,290.93
  6. Step 6: Final answer
    x = 7,324.94

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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.