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Finding the Fourth Proportional to 6,213.60, 9,320.40 and 5,047.20

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Solution

The fourth proportional to 6,213.60, 9,320.40 and 5,047.20 is: 7,570.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213.60 : 9,320.40 = 5,047.20 : x
  2. Step 2: Convert to fraction form
    6,213.60/9,320.40 = 5,047.20/x
  3. Step 3: Cross multiply
    6,213.60x = 9,320.40 × 5,047.20
  4. Step 4: Simplify right side
    6,213.60x = 47,041,922.88
  5. Step 5: Solve for x
    x = 47,041,922.88/6,213.60
  6. Step 6: Final answer
    x = 7,570.80

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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.