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Finding the Fourth Proportional to 10,138.88, 14,001.28 and 9,586.67

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Solution

The fourth proportional to 10,138.88, 14,001.28 and 9,586.67 is: 13,238.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,138.88 : 14,001.28 = 9,586.67 : x
  2. Step 2: Convert to fraction form
    10,138.88/14,001.28 = 9,586.67/x
  3. Step 3: Cross multiply
    10,138.88x = 14,001.28 × 9,586.67
  4. Step 4: Simplify right side
    10,138.88x = 134,225,556.96
  5. Step 5: Solve for x
    x = 134,225,556.96/10,138.88
  6. Step 6: Final answer
    x = 13,238.69

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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.