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Finding the Fourth Proportional to 6,762.13, 9,322.33 and 5,827.86

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Solution

The fourth proportional to 6,762.13, 9,322.33 and 5,827.86 is: 8,034.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,762.13 : 9,322.33 = 5,827.86 : x
  2. Step 2: Convert to fraction form
    6,762.13/9,322.33 = 5,827.86/x
  3. Step 3: Cross multiply
    6,762.13x = 9,322.33 × 5,827.86
  4. Step 4: Simplify right side
    6,762.13x = 54,329,257.42
  5. Step 5: Solve for x
    x = 54,329,257.42/6,762.13
  6. Step 6: Final answer
    x = 8,034.34

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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.