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Finding the Fourth Proportional to 9,238.84, 12,749.32 and 5,047.08

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Solution

The fourth proportional to 9,238.84, 12,749.32 and 5,047.08 is: 6,964.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,238.84 : 12,749.32 = 5,047.08 : x
  2. Step 2: Convert to fraction form
    9,238.84/12,749.32 = 5,047.08/x
  3. Step 3: Cross multiply
    9,238.84x = 12,749.32 × 5,047.08
  4. Step 4: Simplify right side
    9,238.84x = 64,346,837.99
  5. Step 5: Solve for x
    x = 64,346,837.99/9,238.84
  6. Step 6: Final answer
    x = 6,964.82

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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.