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Finding the Fourth Proportional to 9,720.58, 14,578.42 and 2,795.08

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Solution

The fourth proportional to 9,720.58, 14,578.42 and 2,795.08 is: 4,191.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720.58 : 14,578.42 = 2,795.08 : x
  2. Step 2: Convert to fraction form
    9,720.58/14,578.42 = 2,795.08/x
  3. Step 3: Cross multiply
    9,720.58x = 14,578.42 × 2,795.08
  4. Step 4: Simplify right side
    9,720.58x = 40,747,850.17
  5. Step 5: Solve for x
    x = 40,747,850.17/9,720.58
  6. Step 6: Final answer
    x = 4,191.92

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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.