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Finding the Fourth Proportional to 9,306.96, 13,946.04 and 3,462

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Solution

The fourth proportional to 9,306.96, 13,946.04 and 3,462 is: 5,187.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.96 : 13,946.04 = 3,462 : x
  2. Step 2: Convert to fraction form
    9,306.96/13,946.04 = 3,462/x
  3. Step 3: Cross multiply
    9,306.96x = 13,946.04 × 3,462
  4. Step 4: Simplify right side
    9,306.96x = 48,281,190.48
  5. Step 5: Solve for x
    x = 48,281,190.48/9,306.96
  6. Step 6: Final answer
    x = 5,187.64

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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.