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Finding the Fourth Proportional to 6,341.36, 9,501.92 and 5,794.16

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Solution

The fourth proportional to 6,341.36, 9,501.92 and 5,794.16 is: 8,681.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,341.36 : 9,501.92 = 5,794.16 : x
  2. Step 2: Convert to fraction form
    6,341.36/9,501.92 = 5,794.16/x
  3. Step 3: Cross multiply
    6,341.36x = 9,501.92 × 5,794.16
  4. Step 4: Simplify right side
    6,341.36x = 55,055,644.79
  5. Step 5: Solve for x
    x = 55,055,644.79/6,341.36
  6. Step 6: Final answer
    x = 8,681.99

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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.