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Finding the Fourth Proportional to 9,964.70, 14,941.65 and 4,114.70

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Solution

The fourth proportional to 9,964.70, 14,941.65 and 4,114.70 is: 6,169.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.70 : 14,941.65 = 4,114.70 : x
  2. Step 2: Convert to fraction form
    9,964.70/14,941.65 = 4,114.70/x
  3. Step 3: Cross multiply
    9,964.70x = 14,941.65 × 4,114.70
  4. Step 4: Simplify right side
    9,964.70x = 61,480,407.26
  5. Step 5: Solve for x
    x = 61,480,407.26/9,964.70
  6. Step 6: Final answer
    x = 6,169.82

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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.