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Finding the Fourth Proportional to 6,003.64, 9,004.80 and 1,561.36

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Solution

The fourth proportional to 6,003.64, 9,004.80 and 1,561.36 is: 2,341.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,003.64 : 9,004.80 = 1,561.36 : x
  2. Step 2: Convert to fraction form
    6,003.64/9,004.80 = 1,561.36/x
  3. Step 3: Cross multiply
    6,003.64x = 9,004.80 × 1,561.36
  4. Step 4: Simplify right side
    6,003.64x = 14,059,734.53
  5. Step 5: Solve for x
    x = 14,059,734.53/6,003.64
  6. Step 6: Final answer
    x = 2,341.87

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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.