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Finding the Fourth Proportional to 12,600.34, 17,388.64 and 6,935.74

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Solution

The fourth proportional to 12,600.34, 17,388.64 and 6,935.74 is: 9,571.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,600.34 : 17,388.64 = 6,935.74 : x
  2. Step 2: Convert to fraction form
    12,600.34/17,388.64 = 6,935.74/x
  3. Step 3: Cross multiply
    12,600.34x = 17,388.64 × 6,935.74
  4. Step 4: Simplify right side
    12,600.34x = 120,603,085.99
  5. Step 5: Solve for x
    x = 120,603,085.99/12,600.34
  6. Step 6: Final answer
    x = 9,571.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.