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Finding the Fourth Proportional to 9,319.59, 13,980.78 and 3,080.25

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Solution

The fourth proportional to 9,319.59, 13,980.78 and 3,080.25 is: 4,620.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,319.59 : 13,980.78 = 3,080.25 : x
  2. Step 2: Convert to fraction form
    9,319.59/13,980.78 = 3,080.25/x
  3. Step 3: Cross multiply
    9,319.59x = 13,980.78 × 3,080.25
  4. Step 4: Simplify right side
    9,319.59x = 43,064,297.60
  5. Step 5: Solve for x
    x = 43,064,297.60/9,319.59
  6. Step 6: Final answer
    x = 4,620.84

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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.