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Finding the Fourth Proportional to 7,120.42, 9,825.43 and 4,135.68

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Solution

The fourth proportional to 7,120.42, 9,825.43 and 4,135.68 is: 5,706.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,120.42 : 9,825.43 = 4,135.68 : x
  2. Step 2: Convert to fraction form
    7,120.42/9,825.43 = 4,135.68/x
  3. Step 3: Cross multiply
    7,120.42x = 9,825.43 × 4,135.68
  4. Step 4: Simplify right side
    7,120.42x = 40,634,834.34
  5. Step 5: Solve for x
    x = 40,634,834.34/7,120.42
  6. Step 6: Final answer
    x = 5,706.80

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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.