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Finding the Fourth Proportional to 6,337.60, 9,486.72 and 4,141.60

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Solution

The fourth proportional to 6,337.60, 9,486.72 and 4,141.60 is: 6,199.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337.60 : 9,486.72 = 4,141.60 : x
  2. Step 2: Convert to fraction form
    6,337.60/9,486.72 = 4,141.60/x
  3. Step 3: Cross multiply
    6,337.60x = 9,486.72 × 4,141.60
  4. Step 4: Simplify right side
    6,337.60x = 39,290,199.55
  5. Step 5: Solve for x
    x = 39,290,199.55/6,337.60
  6. Step 6: Final answer
    x = 6,199.54

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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.