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Finding the Fourth Proportional to 9,674.79, 13,351.21 and 5,698.35

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Solution

The fourth proportional to 9,674.79, 13,351.21 and 5,698.35 is: 7,863.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.79 : 13,351.21 = 5,698.35 : x
  2. Step 2: Convert to fraction form
    9,674.79/13,351.21 = 5,698.35/x
  3. Step 3: Cross multiply
    9,674.79x = 13,351.21 × 5,698.35
  4. Step 4: Simplify right side
    9,674.79x = 76,079,867.50
  5. Step 5: Solve for x
    x = 76,079,867.50/9,674.79
  6. Step 6: Final answer
    x = 7,863.72

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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.