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Finding the Fourth Proportional to 7,090.32, 9,783.42 and 4,105.08

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Solution

The fourth proportional to 7,090.32, 9,783.42 and 4,105.08 is: 5,664.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090.32 : 9,783.42 = 4,105.08 : x
  2. Step 2: Convert to fraction form
    7,090.32/9,783.42 = 4,105.08/x
  3. Step 3: Cross multiply
    7,090.32x = 9,783.42 × 4,105.08
  4. Step 4: Simplify right side
    7,090.32x = 40,161,721.77
  5. Step 5: Solve for x
    x = 40,161,721.77/7,090.32
  6. Step 6: Final answer
    x = 5,664.30

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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.