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Finding the Fourth Proportional to 7,090.16, 9,784.42 and 3,946.28

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Solution

The fourth proportional to 7,090.16, 9,784.42 and 3,946.28 is: 5,445.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090.16 : 9,784.42 = 3,946.28 : x
  2. Step 2: Convert to fraction form
    7,090.16/9,784.42 = 3,946.28/x
  3. Step 3: Cross multiply
    7,090.16x = 9,784.42 × 3,946.28
  4. Step 4: Simplify right side
    7,090.16x = 38,612,060.96
  5. Step 5: Solve for x
    x = 38,612,060.96/7,090.16
  6. Step 6: Final answer
    x = 5,445.87

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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.