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Finding the Fourth Proportional to 6,977.51, 9,612.36 and 5,858.09

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Solution

The fourth proportional to 6,977.51, 9,612.36 and 5,858.09 is: 8,070.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977.51 : 9,612.36 = 5,858.09 : x
  2. Step 2: Convert to fraction form
    6,977.51/9,612.36 = 5,858.09/x
  3. Step 3: Cross multiply
    6,977.51x = 9,612.36 × 5,858.09
  4. Step 4: Simplify right side
    6,977.51x = 56,310,021.93
  5. Step 5: Solve for x
    x = 56,310,021.93/6,977.51
  6. Step 6: Final answer
    x = 8,070.22

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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.