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Finding the Fourth Proportional to 9,238.17, 12,747.89 and 5,460.64

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Solution

The fourth proportional to 9,238.17, 12,747.89 and 5,460.64 is: 7,535.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,238.17 : 12,747.89 = 5,460.64 : x
  2. Step 2: Convert to fraction form
    9,238.17/12,747.89 = 5,460.64/x
  3. Step 3: Cross multiply
    9,238.17x = 12,747.89 × 5,460.64
  4. Step 4: Simplify right side
    9,238.17x = 69,611,638.05
  5. Step 5: Solve for x
    x = 69,611,638.05/9,238.17
  6. Step 6: Final answer
    x = 7,535.22

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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.