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Finding the Fourth Proportional to 9,298.42, 13,930.04 and 7,208.18

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Solution

The fourth proportional to 9,298.42, 13,930.04 and 7,208.18 is: 10,798.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,298.42 : 13,930.04 = 7,208.18 : x
  2. Step 2: Convert to fraction form
    9,298.42/13,930.04 = 7,208.18/x
  3. Step 3: Cross multiply
    9,298.42x = 13,930.04 × 7,208.18
  4. Step 4: Simplify right side
    9,298.42x = 100,410,195.79
  5. Step 5: Solve for x
    x = 100,410,195.79/9,298.42
  6. Step 6: Final answer
    x = 10,798.63

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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.