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Finding the Fourth Proportional to 12,292.71, 18,406.26 and 6,437.01

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Solution

The fourth proportional to 12,292.71, 18,406.26 and 6,437.01 is: 9,638.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,292.71 : 18,406.26 = 6,437.01 : x
  2. Step 2: Convert to fraction form
    12,292.71/18,406.26 = 6,437.01/x
  3. Step 3: Cross multiply
    12,292.71x = 18,406.26 × 6,437.01
  4. Step 4: Simplify right side
    12,292.71x = 118,481,279.68
  5. Step 5: Solve for x
    x = 118,481,279.68/12,292.71
  6. Step 6: Final answer
    x = 9,638.34

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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.