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Finding the Fourth Proportional to 9,562.87, 14,341.08 and 3,638.35

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Solution

The fourth proportional to 9,562.87, 14,341.08 and 3,638.35 is: 5,456.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,562.87 : 14,341.08 = 3,638.35 : x
  2. Step 2: Convert to fraction form
    9,562.87/14,341.08 = 3,638.35/x
  3. Step 3: Cross multiply
    9,562.87x = 14,341.08 × 3,638.35
  4. Step 4: Simplify right side
    9,562.87x = 52,177,868.42
  5. Step 5: Solve for x
    x = 52,177,868.42/9,562.87
  6. Step 6: Final answer
    x = 5,456.30

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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.