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Finding the Fourth Proportional to 6,077, 9,116.38 and 1,915.60

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Solution

The fourth proportional to 6,077, 9,116.38 and 1,915.60 is: 2,873.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,077 : 9,116.38 = 1,915.60 : x
  2. Step 2: Convert to fraction form
    6,077/9,116.38 = 1,915.60/x
  3. Step 3: Cross multiply
    6,077x = 9,116.38 × 1,915.60
  4. Step 4: Simplify right side
    6,077x = 17,463,337.53
  5. Step 5: Solve for x
    x = 17,463,337.53/6,077
  6. Step 6: Final answer
    x = 2,873.68

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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.