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Finding the Fourth Proportional to 12,306.77, 16,982.95 and 6,929.49

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Solution

The fourth proportional to 12,306.77, 16,982.95 and 6,929.49 is: 9,562.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,306.77 : 16,982.95 = 6,929.49 : x
  2. Step 2: Convert to fraction form
    12,306.77/16,982.95 = 6,929.49/x
  3. Step 3: Cross multiply
    12,306.77x = 16,982.95 × 6,929.49
  4. Step 4: Simplify right side
    12,306.77x = 117,683,182.20
  5. Step 5: Solve for x
    x = 117,683,182.20/12,306.77
  6. Step 6: Final answer
    x = 9,562.48

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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.