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Finding the Fourth Proportional to 9,574.74, 13,214.36 and 5,797.91

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Solution

The fourth proportional to 9,574.74, 13,214.36 and 5,797.91 is: 8,001.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.74 : 13,214.36 = 5,797.91 : x
  2. Step 2: Convert to fraction form
    9,574.74/13,214.36 = 5,797.91/x
  3. Step 3: Cross multiply
    9,574.74x = 13,214.36 × 5,797.91
  4. Step 4: Simplify right side
    9,574.74x = 76,615,717.52
  5. Step 5: Solve for x
    x = 76,615,717.52/9,574.74
  6. Step 6: Final answer
    x = 8,001.86

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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.