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Finding the Fourth Proportional to 9,625.69, 14,437.42 and 2,605.29

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Solution

The fourth proportional to 9,625.69, 14,437.42 and 2,605.29 is: 3,907.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,625.69 : 14,437.42 = 2,605.29 : x
  2. Step 2: Convert to fraction form
    9,625.69/14,437.42 = 2,605.29/x
  3. Step 3: Cross multiply
    9,625.69x = 14,437.42 × 2,605.29
  4. Step 4: Simplify right side
    9,625.69x = 37,613,600.28
  5. Step 5: Solve for x
    x = 37,613,600.28/9,625.69
  6. Step 6: Final answer
    x = 3,907.63

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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.