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Finding the Fourth Proportional to 9,636.22, 14,427 and 6,308.35

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Solution

The fourth proportional to 9,636.22, 14,427 and 6,308.35 is: 9,444.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,636.22 : 14,427 = 6,308.35 : x
  2. Step 2: Convert to fraction form
    9,636.22/14,427 = 6,308.35/x
  3. Step 3: Cross multiply
    9,636.22x = 14,427 × 6,308.35
  4. Step 4: Simplify right side
    9,636.22x = 91,010,565.45
  5. Step 5: Solve for x
    x = 91,010,565.45/9,636.22
  6. Step 6: Final answer
    x = 9,444.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.