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Finding the Fourth Proportional to 9,042.10, 13,567.20 and 4,109.20

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Solution

The fourth proportional to 9,042.10, 13,567.20 and 4,109.20 is: 6,165.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,042.10 : 13,567.20 = 4,109.20 : x
  2. Step 2: Convert to fraction form
    9,042.10/13,567.20 = 4,109.20/x
  3. Step 3: Cross multiply
    9,042.10x = 13,567.20 × 4,109.20
  4. Step 4: Simplify right side
    9,042.10x = 55,750,338.24
  5. Step 5: Solve for x
    x = 55,750,338.24/9,042.10
  6. Step 6: Final answer
    x = 6,165.64

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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.