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Finding the Fourth Proportional to 7,118.88, 9,823.14 and 3,975.20

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Solution

The fourth proportional to 7,118.88, 9,823.14 and 3,975.20 is: 5,485.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,118.88 : 9,823.14 = 3,975.20 : x
  2. Step 2: Convert to fraction form
    7,118.88/9,823.14 = 3,975.20/x
  3. Step 3: Cross multiply
    7,118.88x = 9,823.14 × 3,975.20
  4. Step 4: Simplify right side
    7,118.88x = 39,048,946.13
  5. Step 5: Solve for x
    x = 39,048,946.13/7,118.88
  6. Step 6: Final answer
    x = 5,485.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.