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Finding the Fourth Proportional to 6,071.60, 9,107.40 and 3,155.60

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Solution

The fourth proportional to 6,071.60, 9,107.40 and 3,155.60 is: 4,733.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.60 : 9,107.40 = 3,155.60 : x
  2. Step 2: Convert to fraction form
    6,071.60/9,107.40 = 3,155.60/x
  3. Step 3: Cross multiply
    6,071.60x = 9,107.40 × 3,155.60
  4. Step 4: Simplify right side
    6,071.60x = 28,739,311.44
  5. Step 5: Solve for x
    x = 28,739,311.44/6,071.60
  6. Step 6: Final answer
    x = 4,733.40

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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.