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Finding the Fourth Proportional to 9,730.57, 14,573.95 and 6,821.86

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Solution

The fourth proportional to 9,730.57, 14,573.95 and 6,821.86 is: 10,217.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730.57 : 14,573.95 = 6,821.86 : x
  2. Step 2: Convert to fraction form
    9,730.57/14,573.95 = 6,821.86/x
  3. Step 3: Cross multiply
    9,730.57x = 14,573.95 × 6,821.86
  4. Step 4: Simplify right side
    9,730.57x = 99,421,446.55
  5. Step 5: Solve for x
    x = 99,421,446.55/9,730.57
  6. Step 6: Final answer
    x = 10,217.43

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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.