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Finding the Fourth Proportional to 9,090.83, 13,638.78 and 4,156.31

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Solution

The fourth proportional to 9,090.83, 13,638.78 and 4,156.31 is: 6,235.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,090.83 : 13,638.78 = 4,156.31 : x
  2. Step 2: Convert to fraction form
    9,090.83/13,638.78 = 4,156.31/x
  3. Step 3: Cross multiply
    9,090.83x = 13,638.78 × 4,156.31
  4. Step 4: Simplify right side
    9,090.83x = 56,687,031.80
  5. Step 5: Solve for x
    x = 56,687,031.80/9,090.83
  6. Step 6: Final answer
    x = 6,235.63

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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.