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Finding the Fourth Proportional to 6,555.44, 9,830.28 and 4,090.16

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Solution

The fourth proportional to 6,555.44, 9,830.28 and 4,090.16 is: 6,133.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,555.44 : 9,830.28 = 4,090.16 : x
  2. Step 2: Convert to fraction form
    6,555.44/9,830.28 = 4,090.16/x
  3. Step 3: Cross multiply
    6,555.44x = 9,830.28 × 4,090.16
  4. Step 4: Simplify right side
    6,555.44x = 40,207,418.04
  5. Step 5: Solve for x
    x = 40,207,418.04/6,555.44
  6. Step 6: Final answer
    x = 6,133.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.