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Finding the Fourth Proportional to 9,278.98, 12,805.66 and 5,744.24

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Solution

The fourth proportional to 9,278.98, 12,805.66 and 5,744.24 is: 7,927.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278.98 : 12,805.66 = 5,744.24 : x
  2. Step 2: Convert to fraction form
    9,278.98/12,805.66 = 5,744.24/x
  3. Step 3: Cross multiply
    9,278.98x = 12,805.66 × 5,744.24
  4. Step 4: Simplify right side
    9,278.98x = 73,558,784.40
  5. Step 5: Solve for x
    x = 73,558,784.40/9,278.98
  6. Step 6: Final answer
    x = 7,927.46

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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.