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Finding the Fourth Proportional to 9,626.52, 14,433.75 and 3,776.34

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Solution

The fourth proportional to 9,626.52, 14,433.75 and 3,776.34 is: 5,662.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,626.52 : 14,433.75 = 3,776.34 : x
  2. Step 2: Convert to fraction form
    9,626.52/14,433.75 = 3,776.34/x
  3. Step 3: Cross multiply
    9,626.52x = 14,433.75 × 3,776.34
  4. Step 4: Simplify right side
    9,626.52x = 54,506,747.48
  5. Step 5: Solve for x
    x = 54,506,747.48/9,626.52
  6. Step 6: Final answer
    x = 5,662.14

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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.