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Finding the Fourth Proportional to 9,438.63, 13,024.29 and 5,609.76

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Solution

The fourth proportional to 9,438.63, 13,024.29 and 5,609.76 is: 7,740.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,438.63 : 13,024.29 = 5,609.76 : x
  2. Step 2: Convert to fraction form
    9,438.63/13,024.29 = 5,609.76/x
  3. Step 3: Cross multiply
    9,438.63x = 13,024.29 × 5,609.76
  4. Step 4: Simplify right side
    9,438.63x = 73,063,113.27
  5. Step 5: Solve for x
    x = 73,063,113.27/9,438.63
  6. Step 6: Final answer
    x = 7,740.86

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