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Finding the Fourth Proportional to 9,082.96, 13,624.58 and 2,842.72

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Solution

The fourth proportional to 9,082.96, 13,624.58 and 2,842.72 is: 4,264.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.96 : 13,624.58 = 2,842.72 : x
  2. Step 2: Convert to fraction form
    9,082.96/13,624.58 = 2,842.72/x
  3. Step 3: Cross multiply
    9,082.96x = 13,624.58 × 2,842.72
  4. Step 4: Simplify right side
    9,082.96x = 38,730,866.06
  5. Step 5: Solve for x
    x = 38,730,866.06/9,082.96
  6. Step 6: Final answer
    x = 4,264.12

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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.