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Finding the Fourth Proportional to 9,071.37, 13,604.99 and 2,498.13

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Solution

The fourth proportional to 9,071.37, 13,604.99 and 2,498.13 is: 3,746.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,071.37 : 13,604.99 = 2,498.13 : x
  2. Step 2: Convert to fraction form
    9,071.37/13,604.99 = 2,498.13/x
  3. Step 3: Cross multiply
    9,071.37x = 13,604.99 × 2,498.13
  4. Step 4: Simplify right side
    9,071.37x = 33,987,021.18
  5. Step 5: Solve for x
    x = 33,987,021.18/9,071.37
  6. Step 6: Final answer
    x = 3,746.62

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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.