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Finding the Fourth Proportional to 9,332, 13,997.92 and 3,784.03

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Solution

The fourth proportional to 9,332, 13,997.92 and 3,784.03 is: 5,676.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,332 : 13,997.92 = 3,784.03 : x
  2. Step 2: Convert to fraction form
    9,332/13,997.92 = 3,784.03/x
  3. Step 3: Cross multiply
    9,332x = 13,997.92 × 3,784.03
  4. Step 4: Simplify right side
    9,332x = 52,968,460.31
  5. Step 5: Solve for x
    x = 52,968,460.31/9,332
  6. Step 6: Final answer
    x = 5,676.00

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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.