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Finding the Fourth Proportional to 34,401.38, 51,602.12 and 9,441.77

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Solution

The fourth proportional to 34,401.38, 51,602.12 and 9,441.77 is: 14,162.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,401.38 : 51,602.12 = 9,441.77 : x
  2. Step 2: Convert to fraction form
    34,401.38/51,602.12 = 9,441.77/x
  3. Step 3: Cross multiply
    34,401.38x = 51,602.12 × 9,441.77
  4. Step 4: Simplify right side
    34,401.38x = 487,215,301.34
  5. Step 5: Solve for x
    x = 487,215,301.34/34,401.38
  6. Step 6: Final answer
    x = 14,162.67

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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.