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Finding the Fourth Proportional to 7,090.21, 9,784.09 and 3,946.20

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Solution

The fourth proportional to 7,090.21, 9,784.09 and 3,946.20 is: 5,445.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090.21 : 9,784.09 = 3,946.20 : x
  2. Step 2: Convert to fraction form
    7,090.21/9,784.09 = 3,946.20/x
  3. Step 3: Cross multiply
    7,090.21x = 9,784.09 × 3,946.20
  4. Step 4: Simplify right side
    7,090.21x = 38,609,975.96
  5. Step 5: Solve for x
    x = 38,609,975.96/7,090.21
  6. Step 6: Final answer
    x = 5,445.53

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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.