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Finding the Fourth Proportional to 7,090.43, 9,784.63 and 3,946.91

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Solution

The fourth proportional to 7,090.43, 9,784.63 and 3,946.91 is: 5,446.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090.43 : 9,784.63 = 3,946.91 : x
  2. Step 2: Convert to fraction form
    7,090.43/9,784.63 = 3,946.91/x
  3. Step 3: Cross multiply
    7,090.43x = 9,784.63 × 3,946.91
  4. Step 4: Simplify right side
    7,090.43x = 38,619,053.99
  5. Step 5: Solve for x
    x = 38,619,053.99/7,090.43
  6. Step 6: Final answer
    x = 5,446.64

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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.