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Finding the Fourth Proportional to 9,004, 13,507.92 and 3,160.48

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Solution

The fourth proportional to 9,004, 13,507.92 and 3,160.48 is: 4,741.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,004 : 13,507.92 = 3,160.48 : x
  2. Step 2: Convert to fraction form
    9,004/13,507.92 = 3,160.48/x
  3. Step 3: Cross multiply
    9,004x = 13,507.92 × 3,160.48
  4. Step 4: Simplify right side
    9,004x = 42,691,511.00
  5. Step 5: Solve for x
    x = 42,691,511.00/9,004
  6. Step 6: Final answer
    x = 4,741.39

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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.