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Finding the Fourth Proportional to 9,284.36, 12,807.93 and 6,096.41

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Solution

The fourth proportional to 9,284.36, 12,807.93 and 6,096.41 is: 8,410.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284.36 : 12,807.93 = 6,096.41 : x
  2. Step 2: Convert to fraction form
    9,284.36/12,807.93 = 6,096.41/x
  3. Step 3: Cross multiply
    9,284.36x = 12,807.93 × 6,096.41
  4. Step 4: Simplify right side
    9,284.36x = 78,082,392.53
  5. Step 5: Solve for x
    x = 78,082,392.53/9,284.36
  6. Step 6: Final answer
    x = 8,410.10

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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.