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Finding the Fourth Proportional to 9,298.73, 13,930.51 and 7,208.49

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Solution

The fourth proportional to 9,298.73, 13,930.51 and 7,208.49 is: 10,799.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,298.73 : 13,930.51 = 7,208.49 : x
  2. Step 2: Convert to fraction form
    9,298.73/13,930.51 = 7,208.49/x
  3. Step 3: Cross multiply
    9,298.73x = 13,930.51 × 7,208.49
  4. Step 4: Simplify right side
    9,298.73x = 100,417,905.99
  5. Step 5: Solve for x
    x = 100,417,905.99/9,298.73
  6. Step 6: Final answer
    x = 10,799.10

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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.