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Finding the Fourth Proportional to 9,842.38, 14,765.05 and 3,516.76

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Solution

The fourth proportional to 9,842.38, 14,765.05 and 3,516.76 is: 5,275.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.38 : 14,765.05 = 3,516.76 : x
  2. Step 2: Convert to fraction form
    9,842.38/14,765.05 = 3,516.76/x
  3. Step 3: Cross multiply
    9,842.38x = 14,765.05 × 3,516.76
  4. Step 4: Simplify right side
    9,842.38x = 51,925,137.24
  5. Step 5: Solve for x
    x = 51,925,137.24/9,842.38
  6. Step 6: Final answer
    x = 5,275.67

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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.