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Finding the Fourth Proportional to 7,142.34, 9,857.64 and 4,159.93

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Solution

The fourth proportional to 7,142.34, 9,857.64 and 4,159.93 is: 5,741.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.34 : 9,857.64 = 4,159.93 : x
  2. Step 2: Convert to fraction form
    7,142.34/9,857.64 = 4,159.93/x
  3. Step 3: Cross multiply
    7,142.34x = 9,857.64 × 4,159.93
  4. Step 4: Simplify right side
    7,142.34x = 41,007,092.37
  5. Step 5: Solve for x
    x = 41,007,092.37/7,142.34
  6. Step 6: Final answer
    x = 5,741.41

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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.