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Finding the Fourth Proportional to 6,915.36, 9,540.48 and 4,258.16

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Solution

The fourth proportional to 6,915.36, 9,540.48 and 4,258.16 is: 5,874.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,915.36 : 9,540.48 = 4,258.16 : x
  2. Step 2: Convert to fraction form
    6,915.36/9,540.48 = 4,258.16/x
  3. Step 3: Cross multiply
    6,915.36x = 9,540.48 × 4,258.16
  4. Step 4: Simplify right side
    6,915.36x = 40,624,890.32
  5. Step 5: Solve for x
    x = 40,624,890.32/6,915.36
  6. Step 6: Final answer
    x = 5,874.59

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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.