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Finding the Fourth Proportional to 9,621, 14,432.86 and 3,774.44

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Solution

The fourth proportional to 9,621, 14,432.86 and 3,774.44 is: 5,662.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,621 : 14,432.86 = 3,774.44 : x
  2. Step 2: Convert to fraction form
    9,621/14,432.86 = 3,774.44/x
  3. Step 3: Cross multiply
    9,621x = 14,432.86 × 3,774.44
  4. Step 4: Simplify right side
    9,621x = 54,475,964.10
  5. Step 5: Solve for x
    x = 54,475,964.10/9,621
  6. Step 6: Final answer
    x = 5,662.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.