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Finding the Fourth Proportional to 6,589.89, 9,096.17 and 4,353.75

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Solution

The fourth proportional to 6,589.89, 9,096.17 and 4,353.75 is: 6,009.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.89 : 9,096.17 = 4,353.75 : x
  2. Step 2: Convert to fraction form
    6,589.89/9,096.17 = 4,353.75/x
  3. Step 3: Cross multiply
    6,589.89x = 9,096.17 × 4,353.75
  4. Step 4: Simplify right side
    6,589.89x = 39,602,428.37
  5. Step 5: Solve for x
    x = 39,602,428.37/6,589.89
  6. Step 6: Final answer
    x = 6,009.57

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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.