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Finding the Fourth Proportional to 6,875.81, 9,464.52 and 5,990.07

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Solution

The fourth proportional to 6,875.81, 9,464.52 and 5,990.07 is: 8,245.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875.81 : 9,464.52 = 5,990.07 : x
  2. Step 2: Convert to fraction form
    6,875.81/9,464.52 = 5,990.07/x
  3. Step 3: Cross multiply
    6,875.81x = 9,464.52 × 5,990.07
  4. Step 4: Simplify right side
    6,875.81x = 56,693,137.32
  5. Step 5: Solve for x
    x = 56,693,137.32/6,875.81
  6. Step 6: Final answer
    x = 8,245.31

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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.