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Finding the Fourth Proportional to 7,051.46, 9,730.94 and 4,067.26

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Solution

The fourth proportional to 7,051.46, 9,730.94 and 4,067.26 is: 5,612.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,051.46 : 9,730.94 = 4,067.26 : x
  2. Step 2: Convert to fraction form
    7,051.46/9,730.94 = 4,067.26/x
  3. Step 3: Cross multiply
    7,051.46x = 9,730.94 × 4,067.26
  4. Step 4: Simplify right side
    7,051.46x = 39,578,263.02
  5. Step 5: Solve for x
    x = 39,578,263.02/7,051.46
  6. Step 6: Final answer
    x = 5,612.78

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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.