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Finding the Fourth Proportional to 9,586.43, 13,228.94 and 5,393.87

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Solution

The fourth proportional to 9,586.43, 13,228.94 and 5,393.87 is: 7,443.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.43 : 13,228.94 = 5,393.87 : x
  2. Step 2: Convert to fraction form
    9,586.43/13,228.94 = 5,393.87/x
  3. Step 3: Cross multiply
    9,586.43x = 13,228.94 × 5,393.87
  4. Step 4: Simplify right side
    9,586.43x = 71,355,129.94
  5. Step 5: Solve for x
    x = 71,355,129.94/9,586.43
  6. Step 6: Final answer
    x = 7,443.35

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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.