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Finding the Fourth Proportional to 29,278.49, 43,901.09 and 9,284.30

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Solution

The fourth proportional to 29,278.49, 43,901.09 and 9,284.30 is: 13,921.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,278.49 : 43,901.09 = 9,284.30 : x
  2. Step 2: Convert to fraction form
    29,278.49/43,901.09 = 9,284.30/x
  3. Step 3: Cross multiply
    29,278.49x = 43,901.09 × 9,284.30
  4. Step 4: Simplify right side
    29,278.49x = 407,590,623.96
  5. Step 5: Solve for x
    x = 407,590,623.96/29,278.49
  6. Step 6: Final answer
    x = 13,921.16

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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.