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Finding the Fourth Proportional to 9,829.48, 14,743.74 and 3,673

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Solution

The fourth proportional to 9,829.48, 14,743.74 and 3,673 is: 5,509.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829.48 : 14,743.74 = 3,673 : x
  2. Step 2: Convert to fraction form
    9,829.48/14,743.74 = 3,673/x
  3. Step 3: Cross multiply
    9,829.48x = 14,743.74 × 3,673
  4. Step 4: Simplify right side
    9,829.48x = 54,153,757.02
  5. Step 5: Solve for x
    x = 54,153,757.02/9,829.48
  6. Step 6: Final answer
    x = 5,509.32

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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.