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Finding the Fourth Proportional to 9,460.33, 14,203.06 and 8,082.52

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Solution

The fourth proportional to 9,460.33, 14,203.06 and 8,082.52 is: 12,134.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,460.33 : 14,203.06 = 8,082.52 : x
  2. Step 2: Convert to fraction form
    9,460.33/14,203.06 = 8,082.52/x
  3. Step 3: Cross multiply
    9,460.33x = 14,203.06 × 8,082.52
  4. Step 4: Simplify right side
    9,460.33x = 114,796,516.51
  5. Step 5: Solve for x
    x = 114,796,516.51/9,460.33
  6. Step 6: Final answer
    x = 12,134.52

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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.