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Finding the Fourth Proportional to 9,574.96, 13,213.17 and 5,800.36

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Solution

The fourth proportional to 9,574.96, 13,213.17 and 5,800.36 is: 8,004.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.96 : 13,213.17 = 5,800.36 : x
  2. Step 2: Convert to fraction form
    9,574.96/13,213.17 = 5,800.36/x
  3. Step 3: Cross multiply
    9,574.96x = 13,213.17 × 5,800.36
  4. Step 4: Simplify right side
    9,574.96x = 76,641,113.74
  5. Step 5: Solve for x
    x = 76,641,113.74/9,574.96
  6. Step 6: Final answer
    x = 8,004.33

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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.