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Finding the Fourth Proportional to 8,951.84, 13,421.35 and 4,205.34

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Solution

The fourth proportional to 8,951.84, 13,421.35 and 4,205.34 is: 6,305.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,951.84 : 13,421.35 = 4,205.34 : x
  2. Step 2: Convert to fraction form
    8,951.84/13,421.35 = 4,205.34/x
  3. Step 3: Cross multiply
    8,951.84x = 13,421.35 × 4,205.34
  4. Step 4: Simplify right side
    8,951.84x = 56,441,329.50
  5. Step 5: Solve for x
    x = 56,441,329.50/8,951.84
  6. Step 6: Final answer
    x = 6,305.00

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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.