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Finding the Fourth Proportional to 6,589.30, 9,096.54 and 5,093.84

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Solution

The fourth proportional to 6,589.30, 9,096.54 and 5,093.84 is: 7,032.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.30 : 9,096.54 = 5,093.84 : x
  2. Step 2: Convert to fraction form
    6,589.30/9,096.54 = 5,093.84/x
  3. Step 3: Cross multiply
    6,589.30x = 9,096.54 × 5,093.84
  4. Step 4: Simplify right side
    6,589.30x = 46,336,319.31
  5. Step 5: Solve for x
    x = 46,336,319.31/6,589.30
  6. Step 6: Final answer
    x = 7,032.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.