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Finding the Fourth Proportional to 6,271.20, 9,394.65 and 3,492.90

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Solution

The fourth proportional to 6,271.20, 9,394.65 and 3,492.90 is: 5,232.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,271.20 : 9,394.65 = 3,492.90 : x
  2. Step 2: Convert to fraction form
    6,271.20/9,394.65 = 3,492.90/x
  3. Step 3: Cross multiply
    6,271.20x = 9,394.65 × 3,492.90
  4. Step 4: Simplify right side
    6,271.20x = 32,814,572.99
  5. Step 5: Solve for x
    x = 32,814,572.99/6,271.20
  6. Step 6: Final answer
    x = 5,232.58

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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.