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Finding the Fourth Proportional to 9,499.23, 14,254.97 and 5,119.74

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Solution

The fourth proportional to 9,499.23, 14,254.97 and 5,119.74 is: 7,682.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,499.23 : 14,254.97 = 5,119.74 : x
  2. Step 2: Convert to fraction form
    9,499.23/14,254.97 = 5,119.74/x
  3. Step 3: Cross multiply
    9,499.23x = 14,254.97 × 5,119.74
  4. Step 4: Simplify right side
    9,499.23x = 72,981,714.51
  5. Step 5: Solve for x
    x = 72,981,714.51/9,499.23
  6. Step 6: Final answer
    x = 7,682.91

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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.