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Finding the Fourth Proportional to 9,604.70, 14,406.55 and 2,941.20

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Solution

The fourth proportional to 9,604.70, 14,406.55 and 2,941.20 is: 4,411.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604.70 : 14,406.55 = 2,941.20 : x
  2. Step 2: Convert to fraction form
    9,604.70/14,406.55 = 2,941.20/x
  3. Step 3: Cross multiply
    9,604.70x = 14,406.55 × 2,941.20
  4. Step 4: Simplify right side
    9,604.70x = 42,372,537.51
  5. Step 5: Solve for x
    x = 42,372,537.51/9,604.70
  6. Step 6: Final answer
    x = 4,411.65

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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.