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Finding the Fourth Proportional to 9,704.96, 14,558.72 and 3,466.24

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Solution

The fourth proportional to 9,704.96, 14,558.72 and 3,466.24 is: 5,199.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.96 : 14,558.72 = 3,466.24 : x
  2. Step 2: Convert to fraction form
    9,704.96/14,558.72 = 3,466.24/x
  3. Step 3: Cross multiply
    9,704.96x = 14,558.72 × 3,466.24
  4. Step 4: Simplify right side
    9,704.96x = 50,464,017.61
  5. Step 5: Solve for x
    x = 50,464,017.61/9,704.96
  6. Step 6: Final answer
    x = 5,199.82

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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.