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Finding the Fourth Proportional to 9,635.70, 13,281.35 and 6,447.85

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Solution

The fourth proportional to 9,635.70, 13,281.35 and 6,447.85 is: 8,887.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,635.70 : 13,281.35 = 6,447.85 : x
  2. Step 2: Convert to fraction form
    9,635.70/13,281.35 = 6,447.85/x
  3. Step 3: Cross multiply
    9,635.70x = 13,281.35 × 6,447.85
  4. Step 4: Simplify right side
    9,635.70x = 85,636,152.60
  5. Step 5: Solve for x
    x = 85,636,152.60/9,635.70
  6. Step 6: Final answer
    x = 8,887.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.