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Finding the Fourth Proportional to 7,090.14, 9,786.55 and 4,106.71

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Solution

The fourth proportional to 7,090.14, 9,786.55 and 4,106.71 is: 5,668.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090.14 : 9,786.55 = 4,106.71 : x
  2. Step 2: Convert to fraction form
    7,090.14/9,786.55 = 4,106.71/x
  3. Step 3: Cross multiply
    7,090.14x = 9,786.55 × 4,106.71
  4. Step 4: Simplify right side
    7,090.14x = 40,190,488.02
  5. Step 5: Solve for x
    x = 40,190,488.02/7,090.14
  6. Step 6: Final answer
    x = 5,668.50

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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.