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Finding the Fourth Proportional to 12,474.64, 17,214.72 and 6,809.35

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Solution

The fourth proportional to 12,474.64, 17,214.72 and 6,809.35 is: 9,396.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,474.64 : 17,214.72 = 6,809.35 : x
  2. Step 2: Convert to fraction form
    12,474.64/17,214.72 = 6,809.35/x
  3. Step 3: Cross multiply
    12,474.64x = 17,214.72 × 6,809.35
  4. Step 4: Simplify right side
    12,474.64x = 117,221,053.63
  5. Step 5: Solve for x
    x = 117,221,053.63/12,474.64
  6. Step 6: Final answer
    x = 9,396.75

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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.