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Finding the Fourth Proportional to 9,665.19, 14,497.25 and 3,424.95

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Solution

The fourth proportional to 9,665.19, 14,497.25 and 3,424.95 is: 5,137.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.19 : 14,497.25 = 3,424.95 : x
  2. Step 2: Convert to fraction form
    9,665.19/14,497.25 = 3,424.95/x
  3. Step 3: Cross multiply
    9,665.19x = 14,497.25 × 3,424.95
  4. Step 4: Simplify right side
    9,665.19x = 49,652,339.26
  5. Step 5: Solve for x
    x = 49,652,339.26/9,665.19
  6. Step 6: Final answer
    x = 5,137.23

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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.