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Finding the Fourth Proportional to 9,709.43, 14,564.16 and 4,162.34

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Solution

The fourth proportional to 9,709.43, 14,564.16 and 4,162.34 is: 6,243.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.43 : 14,564.16 = 4,162.34 : x
  2. Step 2: Convert to fraction form
    9,709.43/14,564.16 = 4,162.34/x
  3. Step 3: Cross multiply
    9,709.43x = 14,564.16 × 4,162.34
  4. Step 4: Simplify right side
    9,709.43x = 60,620,985.73
  5. Step 5: Solve for x
    x = 60,620,985.73/9,709.43
  6. Step 6: Final answer
    x = 6,243.52

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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.