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Finding the Fourth Proportional to 9,264.12, 13,896.62 and 3,024.13

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Solution

The fourth proportional to 9,264.12, 13,896.62 and 3,024.13 is: 4,536.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.12 : 13,896.62 = 3,024.13 : x
  2. Step 2: Convert to fraction form
    9,264.12/13,896.62 = 3,024.13/x
  3. Step 3: Cross multiply
    9,264.12x = 13,896.62 × 3,024.13
  4. Step 4: Simplify right side
    9,264.12x = 42,025,158.26
  5. Step 5: Solve for x
    x = 42,025,158.26/9,264.12
  6. Step 6: Final answer
    x = 4,536.34

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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.