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Finding the Fourth Proportional to 4,041.96, 6,065.37 and 4,009.02

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Solution

The fourth proportional to 4,041.96, 6,065.37 and 4,009.02 is: 6,015.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,041.96 : 6,065.37 = 4,009.02 : x
  2. Step 2: Convert to fraction form
    4,041.96/6,065.37 = 4,009.02/x
  3. Step 3: Cross multiply
    4,041.96x = 6,065.37 × 4,009.02
  4. Step 4: Simplify right side
    4,041.96x = 24,316,189.64
  5. Step 5: Solve for x
    x = 24,316,189.64/4,041.96
  6. Step 6: Final answer
    x = 6,015.94

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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.