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Finding the Fourth Proportional to 6,915.88, 9,546.66 and 4,676.68

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Solution

The fourth proportional to 6,915.88, 9,546.66 and 4,676.68 is: 6,455.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,915.88 : 9,546.66 = 4,676.68 : x
  2. Step 2: Convert to fraction form
    6,915.88/9,546.66 = 4,676.68/x
  3. Step 3: Cross multiply
    6,915.88x = 9,546.66 × 4,676.68
  4. Step 4: Simplify right side
    6,915.88x = 44,646,673.89
  5. Step 5: Solve for x
    x = 44,646,673.89/6,915.88
  6. Step 6: Final answer
    x = 6,455.68

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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.