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Finding the Fourth Proportional to 9,838.26, 14,758.27 and 3,264.50

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Solution

The fourth proportional to 9,838.26, 14,758.27 and 3,264.50 is: 4,897.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.26 : 14,758.27 = 3,264.50 : x
  2. Step 2: Convert to fraction form
    9,838.26/14,758.27 = 3,264.50/x
  3. Step 3: Cross multiply
    9,838.26x = 14,758.27 × 3,264.50
  4. Step 4: Simplify right side
    9,838.26x = 48,178,401.15
  5. Step 5: Solve for x
    x = 48,178,401.15/9,838.26
  6. Step 6: Final answer
    x = 4,897.04

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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.