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Finding the Fourth Proportional to 12,613.89, 17,407.56 and 6,948.33

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Solution

The fourth proportional to 12,613.89, 17,407.56 and 6,948.33 is: 9,588.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,613.89 : 17,407.56 = 6,948.33 : x
  2. Step 2: Convert to fraction form
    12,613.89/17,407.56 = 6,948.33/x
  3. Step 3: Cross multiply
    12,613.89x = 17,407.56 × 6,948.33
  4. Step 4: Simplify right side
    12,613.89x = 120,953,471.37
  5. Step 5: Solve for x
    x = 120,953,471.37/12,613.89
  6. Step 6: Final answer
    x = 9,588.91

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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.