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Finding the Fourth Proportional to 9,080.64, 13,617 and 5,390.28

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Solution

The fourth proportional to 9,080.64, 13,617 and 5,390.28 is: 8,083.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,080.64 : 13,617 = 5,390.28 : x
  2. Step 2: Convert to fraction form
    9,080.64/13,617 = 5,390.28/x
  3. Step 3: Cross multiply
    9,080.64x = 13,617 × 5,390.28
  4. Step 4: Simplify right side
    9,080.64x = 73,399,442.76
  5. Step 5: Solve for x
    x = 73,399,442.76/9,080.64
  6. Step 6: Final answer
    x = 8,083.07

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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.