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Finding the Fourth Proportional to 9,449.72, 14,175.74 and 3,210.76

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Solution

The fourth proportional to 9,449.72, 14,175.74 and 3,210.76 is: 4,816.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,449.72 : 14,175.74 = 3,210.76 : x
  2. Step 2: Convert to fraction form
    9,449.72/14,175.74 = 3,210.76/x
  3. Step 3: Cross multiply
    9,449.72x = 14,175.74 × 3,210.76
  4. Step 4: Simplify right side
    9,449.72x = 45,514,898.96
  5. Step 5: Solve for x
    x = 45,514,898.96/9,449.72
  6. Step 6: Final answer
    x = 4,816.53

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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.