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Finding the Fourth Proportional to 9,859.19, 14,783.85 and 3,283.07

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Solution

The fourth proportional to 9,859.19, 14,783.85 and 3,283.07 is: 4,922.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,859.19 : 14,783.85 = 3,283.07 : x
  2. Step 2: Convert to fraction form
    9,859.19/14,783.85 = 3,283.07/x
  3. Step 3: Cross multiply
    9,859.19x = 14,783.85 × 3,283.07
  4. Step 4: Simplify right side
    9,859.19x = 48,536,340.50
  5. Step 5: Solve for x
    x = 48,536,340.50/9,859.19
  6. Step 6: Final answer
    x = 4,922.96

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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.