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Finding the Fourth Proportional to 6,258.32, 9,389.94 and 3,794.92

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Solution

The fourth proportional to 6,258.32, 9,389.94 and 3,794.92 is: 5,693.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,258.32 : 9,389.94 = 3,794.92 : x
  2. Step 2: Convert to fraction form
    6,258.32/9,389.94 = 3,794.92/x
  3. Step 3: Cross multiply
    6,258.32x = 9,389.94 × 3,794.92
  4. Step 4: Simplify right side
    6,258.32x = 35,634,071.10
  5. Step 5: Solve for x
    x = 35,634,071.10/6,258.32
  6. Step 6: Final answer
    x = 5,693.87

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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.