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Finding the Fourth Proportional to 9,328, 13,996.86 and 4,711

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Solution

The fourth proportional to 9,328, 13,996.86 and 4,711 is: 7,068.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,328 : 13,996.86 = 4,711 : x
  2. Step 2: Convert to fraction form
    9,328/13,996.86 = 4,711/x
  3. Step 3: Cross multiply
    9,328x = 13,996.86 × 4,711
  4. Step 4: Simplify right side
    9,328x = 65,939,207.46
  5. Step 5: Solve for x
    x = 65,939,207.46/9,328
  6. Step 6: Final answer
    x = 7,068.95

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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.