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Finding the Fourth Proportional to 9,023.67, 13,539.10 and 3,475.53

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Solution

The fourth proportional to 9,023.67, 13,539.10 and 3,475.53 is: 5,214.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,023.67 : 13,539.10 = 3,475.53 : x
  2. Step 2: Convert to fraction form
    9,023.67/13,539.10 = 3,475.53/x
  3. Step 3: Cross multiply
    9,023.67x = 13,539.10 × 3,475.53
  4. Step 4: Simplify right side
    9,023.67x = 47,055,548.22
  5. Step 5: Solve for x
    x = 47,055,548.22/9,023.67
  6. Step 6: Final answer
    x = 5,214.68

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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.