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Finding the Fourth Proportional to 6,220.80, 9,316.62 and 4,748.22

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Solution

The fourth proportional to 6,220.80, 9,316.62 and 4,748.22 is: 7,111.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,220.80 : 9,316.62 = 4,748.22 : x
  2. Step 2: Convert to fraction form
    6,220.80/9,316.62 = 4,748.22/x
  3. Step 3: Cross multiply
    6,220.80x = 9,316.62 × 4,748.22
  4. Step 4: Simplify right side
    6,220.80x = 44,237,361.42
  5. Step 5: Solve for x
    x = 44,237,361.42/6,220.80
  6. Step 6: Final answer
    x = 7,111.20

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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.