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Finding the Fourth Proportional to 6,915.40, 9,540.53 and 4,258.19

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Solution

The fourth proportional to 6,915.40, 9,540.53 and 4,258.19 is: 5,874.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,915.40 : 9,540.53 = 4,258.19 : x
  2. Step 2: Convert to fraction form
    6,915.40/9,540.53 = 4,258.19/x
  3. Step 3: Cross multiply
    6,915.40x = 9,540.53 × 4,258.19
  4. Step 4: Simplify right side
    6,915.40x = 40,625,407.97
  5. Step 5: Solve for x
    x = 40,625,407.97/6,915.40
  6. Step 6: Final answer
    x = 5,874.63

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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.