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Finding the Fourth Proportional to 7,229.06, 9,975.93 and 4,042.40

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Solution

The fourth proportional to 7,229.06, 9,975.93 and 4,042.40 is: 5,578.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,229.06 : 9,975.93 = 4,042.40 : x
  2. Step 2: Convert to fraction form
    7,229.06/9,975.93 = 4,042.40/x
  3. Step 3: Cross multiply
    7,229.06x = 9,975.93 × 4,042.40
  4. Step 4: Simplify right side
    7,229.06x = 40,326,649.55
  5. Step 5: Solve for x
    x = 40,326,649.55/7,229.06
  6. Step 6: Final answer
    x = 5,578.41

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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.