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Finding the Fourth Proportional to 7,090.84, 9,791.10 and 4,574.20

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Solution

The fourth proportional to 7,090.84, 9,791.10 and 4,574.20 is: 6,316.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090.84 : 9,791.10 = 4,574.20 : x
  2. Step 2: Convert to fraction form
    7,090.84/9,791.10 = 4,574.20/x
  3. Step 3: Cross multiply
    7,090.84x = 9,791.10 × 4,574.20
  4. Step 4: Simplify right side
    7,090.84x = 44,786,449.62
  5. Step 5: Solve for x
    x = 44,786,449.62/7,090.84
  6. Step 6: Final answer
    x = 6,316.10

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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.