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Finding the Fourth Proportional to 6,412.60, 9,606.60 and 4,944.52

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Solution

The fourth proportional to 6,412.60, 9,606.60 and 4,944.52 is: 7,407.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.60 : 9,606.60 = 4,944.52 : x
  2. Step 2: Convert to fraction form
    6,412.60/9,606.60 = 4,944.52/x
  3. Step 3: Cross multiply
    6,412.60x = 9,606.60 × 4,944.52
  4. Step 4: Simplify right side
    6,412.60x = 47,500,025.83
  5. Step 5: Solve for x
    x = 47,500,025.83/6,412.60
  6. Step 6: Final answer
    x = 7,407.30

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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.