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Finding the Fourth Proportional to 12,407.64, 17,122.53 and 6,742.37

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Solution

The fourth proportional to 12,407.64, 17,122.53 and 6,742.37 is: 9,304.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,407.64 : 17,122.53 = 6,742.37 : x
  2. Step 2: Convert to fraction form
    12,407.64/17,122.53 = 6,742.37/x
  3. Step 3: Cross multiply
    12,407.64x = 17,122.53 × 6,742.37
  4. Step 4: Simplify right side
    12,407.64x = 115,446,372.27
  5. Step 5: Solve for x
    x = 115,446,372.27/12,407.64
  6. Step 6: Final answer
    x = 9,304.46

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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.