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Finding the Fourth Proportional to 7,103.21, 9,797.36 and 6,157.35

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Solution

The fourth proportional to 7,103.21, 9,797.36 and 6,157.35 is: 8,492.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,103.21 : 9,797.36 = 6,157.35 : x
  2. Step 2: Convert to fraction form
    7,103.21/9,797.36 = 6,157.35/x
  3. Step 3: Cross multiply
    7,103.21x = 9,797.36 × 6,157.35
  4. Step 4: Simplify right side
    7,103.21x = 60,325,743.81
  5. Step 5: Solve for x
    x = 60,325,743.81/7,103.21
  6. Step 6: Final answer
    x = 8,492.75

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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.