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Finding the Fourth Proportional to 9,029.44, 13,542.08 and 4,095.76

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Solution

The fourth proportional to 9,029.44, 13,542.08 and 4,095.76 is: 6,142.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,029.44 : 13,542.08 = 4,095.76 : x
  2. Step 2: Convert to fraction form
    9,029.44/13,542.08 = 4,095.76/x
  3. Step 3: Cross multiply
    9,029.44x = 13,542.08 × 4,095.76
  4. Step 4: Simplify right side
    9,029.44x = 55,465,109.58
  5. Step 5: Solve for x
    x = 55,465,109.58/9,029.44
  6. Step 6: Final answer
    x = 6,142.70

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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.