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Finding the Fourth Proportional to 9,322.30, 12,858.91 and 6,135.76

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Solution

The fourth proportional to 9,322.30, 12,858.91 and 6,135.76 is: 8,463.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,322.30 : 12,858.91 = 6,135.76 : x
  2. Step 2: Convert to fraction form
    9,322.30/12,858.91 = 6,135.76/x
  3. Step 3: Cross multiply
    9,322.30x = 12,858.91 × 6,135.76
  4. Step 4: Simplify right side
    9,322.30x = 78,899,185.62
  5. Step 5: Solve for x
    x = 78,899,185.62/9,322.30
  6. Step 6: Final answer
    x = 8,463.49

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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.