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Finding the Fourth Proportional to 9,622.30, 14,418.84 and 7,145.50

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Solution

The fourth proportional to 9,622.30, 14,418.84 and 7,145.50 is: 10,707.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,622.30 : 14,418.84 = 7,145.50 : x
  2. Step 2: Convert to fraction form
    9,622.30/14,418.84 = 7,145.50/x
  3. Step 3: Cross multiply
    9,622.30x = 14,418.84 × 7,145.50
  4. Step 4: Simplify right side
    9,622.30x = 103,029,821.22
  5. Step 5: Solve for x
    x = 103,029,821.22/9,622.30
  6. Step 6: Final answer
    x = 10,707.40

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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.