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Finding the Fourth Proportional to 9,585.69, 14,365.25 and 7,243.78

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Solution

The fourth proportional to 9,585.69, 14,365.25 and 7,243.78 is: 10,855.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585.69 : 14,365.25 = 7,243.78 : x
  2. Step 2: Convert to fraction form
    9,585.69/14,365.25 = 7,243.78/x
  3. Step 3: Cross multiply
    9,585.69x = 14,365.25 × 7,243.78
  4. Step 4: Simplify right side
    9,585.69x = 104,058,692.61
  5. Step 5: Solve for x
    x = 104,058,692.61/9,585.69
  6. Step 6: Final answer
    x = 10,855.63

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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.