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Finding the Fourth Proportional to 7,090.33, 9,785.23 and 4,106.22

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Solution

The fourth proportional to 7,090.33, 9,785.23 and 4,106.22 is: 5,666.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090.33 : 9,785.23 = 4,106.22 : x
  2. Step 2: Convert to fraction form
    7,090.33/9,785.23 = 4,106.22/x
  3. Step 3: Cross multiply
    7,090.33x = 9,785.23 × 4,106.22
  4. Step 4: Simplify right side
    7,090.33x = 40,180,307.13
  5. Step 5: Solve for x
    x = 40,180,307.13/7,090.33
  6. Step 6: Final answer
    x = 5,666.92

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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.