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Finding the Fourth Proportional to 9,542.26, 14,303.13 and 9,438.58

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Solution

The fourth proportional to 9,542.26, 14,303.13 and 9,438.58 is: 14,147.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,542.26 : 14,303.13 = 9,438.58 : x
  2. Step 2: Convert to fraction form
    9,542.26/14,303.13 = 9,438.58/x
  3. Step 3: Cross multiply
    9,542.26x = 14,303.13 × 9,438.58
  4. Step 4: Simplify right side
    9,542.26x = 135,001,236.76
  5. Step 5: Solve for x
    x = 135,001,236.76/9,542.26
  6. Step 6: Final answer
    x = 14,147.72

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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.