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Finding the Fourth Proportional to 9,697.48, 14,546.97 and 3,123.86

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Solution

The fourth proportional to 9,697.48, 14,546.97 and 3,123.86 is: 4,686.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.48 : 14,546.97 = 3,123.86 : x
  2. Step 2: Convert to fraction form
    9,697.48/14,546.97 = 3,123.86/x
  3. Step 3: Cross multiply
    9,697.48x = 14,546.97 × 3,123.86
  4. Step 4: Simplify right side
    9,697.48x = 45,442,624.97
  5. Step 5: Solve for x
    x = 45,442,624.97/9,697.48
  6. Step 6: Final answer
    x = 4,686.03

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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.