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Finding the Fourth Proportional to 9,026.17, 13,538.95 and 3,182.63

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Solution

The fourth proportional to 9,026.17, 13,538.95 and 3,182.63 is: 4,773.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,026.17 : 13,538.95 = 3,182.63 : x
  2. Step 2: Convert to fraction form
    9,026.17/13,538.95 = 3,182.63/x
  3. Step 3: Cross multiply
    9,026.17x = 13,538.95 × 3,182.63
  4. Step 4: Simplify right side
    9,026.17x = 43,089,392.79
  5. Step 5: Solve for x
    x = 43,089,392.79/9,026.17
  6. Step 6: Final answer
    x = 4,773.83

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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.