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Finding the Fourth Proportional to 7,142.09, 9,855.74 and 4,157.51

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Solution

The fourth proportional to 7,142.09, 9,855.74 and 4,157.51 is: 5,737.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.09 : 9,855.74 = 4,157.51 : x
  2. Step 2: Convert to fraction form
    7,142.09/9,855.74 = 4,157.51/x
  3. Step 3: Cross multiply
    7,142.09x = 9,855.74 × 4,157.51
  4. Step 4: Simplify right side
    7,142.09x = 40,975,298.72
  5. Step 5: Solve for x
    x = 40,975,298.72/7,142.09
  6. Step 6: Final answer
    x = 5,737.16

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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.