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Finding the Fourth Proportional to 9,635.54, 14,447.31 and 4,434.74

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Solution

The fourth proportional to 9,635.54, 14,447.31 and 4,434.74 is: 6,649.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,635.54 : 14,447.31 = 4,434.74 : x
  2. Step 2: Convert to fraction form
    9,635.54/14,447.31 = 4,434.74/x
  3. Step 3: Cross multiply
    9,635.54x = 14,447.31 × 4,434.74
  4. Step 4: Simplify right side
    9,635.54x = 64,070,063.55
  5. Step 5: Solve for x
    x = 64,070,063.55/9,635.54
  6. Step 6: Final answer
    x = 6,649.35

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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.