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Finding the Fourth Proportional to 6,289.04, 9,433.60 and 1,672

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Solution

The fourth proportional to 6,289.04, 9,433.60 and 1,672 is: 2,508.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.04 : 9,433.60 = 1,672 : x
  2. Step 2: Convert to fraction form
    6,289.04/9,433.60 = 1,672/x
  3. Step 3: Cross multiply
    6,289.04x = 9,433.60 × 1,672
  4. Step 4: Simplify right side
    6,289.04x = 15,772,979.20
  5. Step 5: Solve for x
    x = 15,772,979.20/6,289.04
  6. Step 6: Final answer
    x = 2,508.01

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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.