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Finding the Fourth Proportional to 9,344.84, 12,895.83 and 5,153.09

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Solution

The fourth proportional to 9,344.84, 12,895.83 and 5,153.09 is: 7,111.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,344.84 : 12,895.83 = 5,153.09 : x
  2. Step 2: Convert to fraction form
    9,344.84/12,895.83 = 5,153.09/x
  3. Step 3: Cross multiply
    9,344.84x = 12,895.83 × 5,153.09
  4. Step 4: Simplify right side
    9,344.84x = 66,453,308.14
  5. Step 5: Solve for x
    x = 66,453,308.14/9,344.84
  6. Step 6: Final answer
    x = 7,111.23

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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.