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Finding the Fourth Proportional to 9,975.91, 14,973.09 and 5,049.01

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Solution

The fourth proportional to 9,975.91, 14,973.09 and 5,049.01 is: 7,578.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,975.91 : 14,973.09 = 5,049.01 : x
  2. Step 2: Convert to fraction form
    9,975.91/14,973.09 = 5,049.01/x
  3. Step 3: Cross multiply
    9,975.91x = 14,973.09 × 5,049.01
  4. Step 4: Simplify right side
    9,975.91x = 75,599,206.28
  5. Step 5: Solve for x
    x = 75,599,206.28/9,975.91
  6. Step 6: Final answer
    x = 7,578.18

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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.