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Finding the Fourth Proportional to 9,840.38, 14,762.05 and 3,514.76

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Solution

The fourth proportional to 9,840.38, 14,762.05 and 3,514.76 is: 5,272.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,840.38 : 14,762.05 = 3,514.76 : x
  2. Step 2: Convert to fraction form
    9,840.38/14,762.05 = 3,514.76/x
  3. Step 3: Cross multiply
    9,840.38x = 14,762.05 × 3,514.76
  4. Step 4: Simplify right side
    9,840.38x = 51,885,035.62
  5. Step 5: Solve for x
    x = 51,885,035.62/9,840.38
  6. Step 6: Final answer
    x = 5,272.67

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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.