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Finding the Fourth Proportional to 9,124.23, 13,652.17 and 6,497.81

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Solution

The fourth proportional to 9,124.23, 13,652.17 and 6,497.81 is: 9,722.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,124.23 : 13,652.17 = 6,497.81 : x
  2. Step 2: Convert to fraction form
    9,124.23/13,652.17 = 6,497.81/x
  3. Step 3: Cross multiply
    9,124.23x = 13,652.17 × 6,497.81
  4. Step 4: Simplify right side
    9,124.23x = 88,709,122.24
  5. Step 5: Solve for x
    x = 88,709,122.24/9,124.23
  6. Step 6: Final answer
    x = 9,722.37

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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.