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Finding the Fourth Proportional to 10,289.82, 15,452.94 and 9,466.32

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Solution

The fourth proportional to 10,289.82, 15,452.94 and 9,466.32 is: 14,216.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,289.82 : 15,452.94 = 9,466.32 : x
  2. Step 2: Convert to fraction form
    10,289.82/15,452.94 = 9,466.32/x
  3. Step 3: Cross multiply
    10,289.82x = 15,452.94 × 9,466.32
  4. Step 4: Simplify right side
    10,289.82x = 146,282,474.98
  5. Step 5: Solve for x
    x = 146,282,474.98/10,289.82
  6. Step 6: Final answer
    x = 14,216.23

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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.