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Finding the Fourth Proportional to 9,739.60, 14,620.20 and 5,365.60

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Solution

The fourth proportional to 9,739.60, 14,620.20 and 5,365.60 is: 8,054.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,739.60 : 14,620.20 = 5,365.60 : x
  2. Step 2: Convert to fraction form
    9,739.60/14,620.20 = 5,365.60/x
  3. Step 3: Cross multiply
    9,739.60x = 14,620.20 × 5,365.60
  4. Step 4: Simplify right side
    9,739.60x = 78,446,145.12
  5. Step 5: Solve for x
    x = 78,446,145.12/9,739.60
  6. Step 6: Final answer
    x = 8,054.35

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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.