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Finding the Fourth Proportional to 7,142.12, 9,860.82 and 4,352.36

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Solution

The fourth proportional to 7,142.12, 9,860.82 and 4,352.36 is: 6,009.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.12 : 9,860.82 = 4,352.36 : x
  2. Step 2: Convert to fraction form
    7,142.12/9,860.82 = 4,352.36/x
  3. Step 3: Cross multiply
    7,142.12x = 9,860.82 × 4,352.36
  4. Step 4: Simplify right side
    7,142.12x = 42,917,838.54
  5. Step 5: Solve for x
    x = 42,917,838.54/7,142.12
  6. Step 6: Final answer
    x = 6,009.12

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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.