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Finding the Fourth Proportional to 9,230.82, 12,738.54 and 5,039.07

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Solution

The fourth proportional to 9,230.82, 12,738.54 and 5,039.07 is: 6,953.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,230.82 : 12,738.54 = 5,039.07 : x
  2. Step 2: Convert to fraction form
    9,230.82/12,738.54 = 5,039.07/x
  3. Step 3: Cross multiply
    9,230.82x = 12,738.54 × 5,039.07
  4. Step 4: Simplify right side
    9,230.82x = 64,190,394.76
  5. Step 5: Solve for x
    x = 64,190,394.76/9,230.82
  6. Step 6: Final answer
    x = 6,953.92

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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.