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Finding the Fourth Proportional to 9,577.67, 14,366.50 and 3,004.36

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Solution

The fourth proportional to 9,577.67, 14,366.50 and 3,004.36 is: 4,506.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,577.67 : 14,366.50 = 3,004.36 : x
  2. Step 2: Convert to fraction form
    9,577.67/14,366.50 = 3,004.36/x
  3. Step 3: Cross multiply
    9,577.67x = 14,366.50 × 3,004.36
  4. Step 4: Simplify right side
    9,577.67x = 43,162,137.94
  5. Step 5: Solve for x
    x = 43,162,137.94/9,577.67
  6. Step 6: Final answer
    x = 4,506.54

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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.