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Finding the Fourth Proportional to 9,407.33, 14,110.84 and 2,291.63

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Solution

The fourth proportional to 9,407.33, 14,110.84 and 2,291.63 is: 3,437.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.33 : 14,110.84 = 2,291.63 : x
  2. Step 2: Convert to fraction form
    9,407.33/14,110.84 = 2,291.63/x
  3. Step 3: Cross multiply
    9,407.33x = 14,110.84 × 2,291.63
  4. Step 4: Simplify right side
    9,407.33x = 32,336,824.27
  5. Step 5: Solve for x
    x = 32,336,824.27/9,407.33
  6. Step 6: Final answer
    x = 3,437.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.