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Finding the Fourth Proportional to 12,114.46, 16,718.14 and 6,809.28

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Solution

The fourth proportional to 12,114.46, 16,718.14 and 6,809.28 is: 9,396.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,114.46 : 16,718.14 = 6,809.28 : x
  2. Step 2: Convert to fraction form
    12,114.46/16,718.14 = 6,809.28/x
  3. Step 3: Cross multiply
    12,114.46x = 16,718.14 × 6,809.28
  4. Step 4: Simplify right side
    12,114.46x = 113,838,496.34
  5. Step 5: Solve for x
    x = 113,838,496.34/12,114.46
  6. Step 6: Final answer
    x = 9,396.91

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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.