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Finding the Fourth Proportional to 9,230.84, 12,738.53 and 5,039.09

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Solution

The fourth proportional to 9,230.84, 12,738.53 and 5,039.09 is: 6,953.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,230.84 : 12,738.53 = 5,039.09 : x
  2. Step 2: Convert to fraction form
    9,230.84/12,738.53 = 5,039.09/x
  3. Step 3: Cross multiply
    9,230.84x = 12,738.53 × 5,039.09
  4. Step 4: Simplify right side
    9,230.84x = 64,190,643.58
  5. Step 5: Solve for x
    x = 64,190,643.58/9,230.84
  6. Step 6: Final answer
    x = 6,953.93

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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.