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Finding the Fourth Proportional to 9,796.39, 14,697.07 and 4,535.19

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Solution

The fourth proportional to 9,796.39, 14,697.07 and 4,535.19 is: 6,803.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.39 : 14,697.07 = 4,535.19 : x
  2. Step 2: Convert to fraction form
    9,796.39/14,697.07 = 4,535.19/x
  3. Step 3: Cross multiply
    9,796.39x = 14,697.07 × 4,535.19
  4. Step 4: Simplify right side
    9,796.39x = 66,654,004.89
  5. Step 5: Solve for x
    x = 66,654,004.89/9,796.39
  6. Step 6: Final answer
    x = 6,803.94

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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.