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Finding the Fourth Proportional to 9,821.74, 14,703.65 and 6,483.83

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Solution

The fourth proportional to 9,821.74, 14,703.65 and 6,483.83 is: 9,706.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,821.74 : 14,703.65 = 6,483.83 : x
  2. Step 2: Convert to fraction form
    9,821.74/14,703.65 = 6,483.83/x
  3. Step 3: Cross multiply
    9,821.74x = 14,703.65 × 6,483.83
  4. Step 4: Simplify right side
    9,821.74x = 95,335,966.98
  5. Step 5: Solve for x
    x = 95,335,966.98/9,821.74
  6. Step 6: Final answer
    x = 9,706.63

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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.