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Finding the Fourth Proportional to 9,818.50, 14,730.65 and 5,661.49

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Solution

The fourth proportional to 9,818.50, 14,730.65 and 5,661.49 is: 8,493.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,818.50 : 14,730.65 = 5,661.49 : x
  2. Step 2: Convert to fraction form
    9,818.50/14,730.65 = 5,661.49/x
  3. Step 3: Cross multiply
    9,818.50x = 14,730.65 × 5,661.49
  4. Step 4: Simplify right side
    9,818.50x = 83,397,427.67
  5. Step 5: Solve for x
    x = 83,397,427.67/9,818.50
  6. Step 6: Final answer
    x = 8,493.91

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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.