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Finding the Fourth Proportional to 9,508.46, 14,238.05 and 6,556.01

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Solution

The fourth proportional to 9,508.46, 14,238.05 and 6,556.01 is: 9,817.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,508.46 : 14,238.05 = 6,556.01 : x
  2. Step 2: Convert to fraction form
    9,508.46/14,238.05 = 6,556.01/x
  3. Step 3: Cross multiply
    9,508.46x = 14,238.05 × 6,556.01
  4. Step 4: Simplify right side
    9,508.46x = 93,344,694.21
  5. Step 5: Solve for x
    x = 93,344,694.21/9,508.46
  6. Step 6: Final answer
    x = 9,817.02

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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.