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Finding the Fourth Proportional to 7,090.24, 9,784.92 and 3,946.36

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Solution

The fourth proportional to 7,090.24, 9,784.92 and 3,946.36 is: 5,446.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090.24 : 9,784.92 = 3,946.36 : x
  2. Step 2: Convert to fraction form
    7,090.24/9,784.92 = 3,946.36/x
  3. Step 3: Cross multiply
    7,090.24x = 9,784.92 × 3,946.36
  4. Step 4: Simplify right side
    7,090.24x = 38,614,816.89
  5. Step 5: Solve for x
    x = 38,614,816.89/7,090.24
  6. Step 6: Final answer
    x = 5,446.19

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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.