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Finding the Fourth Proportional to 9,570.50, 14,354.92 and 3,328.90

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Solution

The fourth proportional to 9,570.50, 14,354.92 and 3,328.90 is: 4,993.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570.50 : 14,354.92 = 3,328.90 : x
  2. Step 2: Convert to fraction form
    9,570.50/14,354.92 = 3,328.90/x
  3. Step 3: Cross multiply
    9,570.50x = 14,354.92 × 3,328.90
  4. Step 4: Simplify right side
    9,570.50x = 47,786,093.19
  5. Step 5: Solve for x
    x = 47,786,093.19/9,570.50
  6. Step 6: Final answer
    x = 4,993.06

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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.