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Finding the Fourth Proportional to 9,578.73, 14,347.44 and 5,186.91

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Solution

The fourth proportional to 9,578.73, 14,347.44 and 5,186.91 is: 7,769.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.73 : 14,347.44 = 5,186.91 : x
  2. Step 2: Convert to fraction form
    9,578.73/14,347.44 = 5,186.91/x
  3. Step 3: Cross multiply
    9,578.73x = 14,347.44 × 5,186.91
  4. Step 4: Simplify right side
    9,578.73x = 74,418,880.01
  5. Step 5: Solve for x
    x = 74,418,880.01/9,578.73
  6. Step 6: Final answer
    x = 7,769.18

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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.