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Finding the Fourth Proportional to 6,036, 9,054.68 and 5,415.90

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Solution

The fourth proportional to 6,036, 9,054.68 and 5,415.90 is: 8,124.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,036 : 9,054.68 = 5,415.90 : x
  2. Step 2: Convert to fraction form
    6,036/9,054.68 = 5,415.90/x
  3. Step 3: Cross multiply
    6,036x = 9,054.68 × 5,415.90
  4. Step 4: Simplify right side
    6,036x = 49,039,214.33
  5. Step 5: Solve for x
    x = 49,039,214.33/6,036
  6. Step 6: Final answer
    x = 8,124.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.