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Finding the Fourth Proportional to 9,714.99, 13,406.61 and 5,523.24

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Solution

The fourth proportional to 9,714.99, 13,406.61 and 5,523.24 is: 7,622.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.99 : 13,406.61 = 5,523.24 : x
  2. Step 2: Convert to fraction form
    9,714.99/13,406.61 = 5,523.24/x
  3. Step 3: Cross multiply
    9,714.99x = 13,406.61 × 5,523.24
  4. Step 4: Simplify right side
    9,714.99x = 74,047,924.62
  5. Step 5: Solve for x
    x = 74,047,924.62/9,714.99
  6. Step 6: Final answer
    x = 7,622.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.