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Finding the Fourth Proportional to 9,264.96, 13,896.93 and 3,341.97

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Solution

The fourth proportional to 9,264.96, 13,896.93 and 3,341.97 is: 5,012.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.96 : 13,896.93 = 3,341.97 : x
  2. Step 2: Convert to fraction form
    9,264.96/13,896.93 = 3,341.97/x
  3. Step 3: Cross multiply
    9,264.96x = 13,896.93 × 3,341.97
  4. Step 4: Simplify right side
    9,264.96x = 46,443,123.15
  5. Step 5: Solve for x
    x = 46,443,123.15/9,264.96
  6. Step 6: Final answer
    x = 5,012.77

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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.