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Finding the Fourth Proportional to 9,462.72, 14,196.48 and 2,888.64

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Solution

The fourth proportional to 9,462.72, 14,196.48 and 2,888.64 is: 4,333.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,462.72 : 14,196.48 = 2,888.64 : x
  2. Step 2: Convert to fraction form
    9,462.72/14,196.48 = 2,888.64/x
  3. Step 3: Cross multiply
    9,462.72x = 14,196.48 × 2,888.64
  4. Step 4: Simplify right side
    9,462.72x = 41,008,519.99
  5. Step 5: Solve for x
    x = 41,008,519.99/9,462.72
  6. Step 6: Final answer
    x = 4,333.69

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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.