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Finding the Fourth Proportional to 38,744.25, 58,116.38 and 9,560.25

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Solution

The fourth proportional to 38,744.25, 58,116.38 and 9,560.25 is: 14,340.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,744.25 : 58,116.38 = 9,560.25 : x
  2. Step 2: Convert to fraction form
    38,744.25/58,116.38 = 9,560.25/x
  3. Step 3: Cross multiply
    38,744.25x = 58,116.38 × 9,560.25
  4. Step 4: Simplify right side
    38,744.25x = 555,607,074.09
  5. Step 5: Solve for x
    x = 555,607,074.09/38,744.25
  6. Step 6: Final answer
    x = 14,340.38

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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.