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Finding the Fourth Proportional to 6,445.04, 9,660.18 and 2,975

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Solution

The fourth proportional to 6,445.04, 9,660.18 and 2,975 is: 4,459.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,445.04 : 9,660.18 = 2,975 : x
  2. Step 2: Convert to fraction form
    6,445.04/9,660.18 = 2,975/x
  3. Step 3: Cross multiply
    6,445.04x = 9,660.18 × 2,975
  4. Step 4: Simplify right side
    6,445.04x = 28,739,035.50
  5. Step 5: Solve for x
    x = 28,739,035.50/6,445.04
  6. Step 6: Final answer
    x = 4,459.09

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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.