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Finding the Fourth Proportional to 9,574.16, 13,213.70 and 5,797.76

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Solution

The fourth proportional to 9,574.16, 13,213.70 and 5,797.76 is: 8,001.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.16 : 13,213.70 = 5,797.76 : x
  2. Step 2: Convert to fraction form
    9,574.16/13,213.70 = 5,797.76/x
  3. Step 3: Cross multiply
    9,574.16x = 13,213.70 × 5,797.76
  4. Step 4: Simplify right side
    9,574.16x = 76,609,861.31
  5. Step 5: Solve for x
    x = 76,609,861.31/9,574.16
  6. Step 6: Final answer
    x = 8,001.73

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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.