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Finding the Fourth Proportional to 6,003.60, 8,994.60 and 5,642.16

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Solution

The fourth proportional to 6,003.60, 8,994.60 and 5,642.16 is: 8,453.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,003.60 : 8,994.60 = 5,642.16 : x
  2. Step 2: Convert to fraction form
    6,003.60/8,994.60 = 5,642.16/x
  3. Step 3: Cross multiply
    6,003.60x = 8,994.60 × 5,642.16
  4. Step 4: Simplify right side
    6,003.60x = 50,748,972.34
  5. Step 5: Solve for x
    x = 50,748,972.34/6,003.60
  6. Step 6: Final answer
    x = 8,453.09

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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.