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Finding the Fourth Proportional to 9,028.31, 12,433.23 and 8,465.76

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Solution

The fourth proportional to 9,028.31, 12,433.23 and 8,465.76 is: 11,658.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,028.31 : 12,433.23 = 8,465.76 : x
  2. Step 2: Convert to fraction form
    9,028.31/12,433.23 = 8,465.76/x
  3. Step 3: Cross multiply
    9,028.31x = 12,433.23 × 8,465.76
  4. Step 4: Simplify right side
    9,028.31x = 105,256,741.20
  5. Step 5: Solve for x
    x = 105,256,741.20/9,028.31
  6. Step 6: Final answer
    x = 11,658.52

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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.