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Finding the Fourth Proportional to 9,236.96, 13,830.72 and 4,845.14

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Solution

The fourth proportional to 9,236.96, 13,830.72 and 4,845.14 is: 7,254.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,236.96 : 13,830.72 = 4,845.14 : x
  2. Step 2: Convert to fraction form
    9,236.96/13,830.72 = 4,845.14/x
  3. Step 3: Cross multiply
    9,236.96x = 13,830.72 × 4,845.14
  4. Step 4: Simplify right side
    9,236.96x = 67,011,774.70
  5. Step 5: Solve for x
    x = 67,011,774.70/9,236.96
  6. Step 6: Final answer
    x = 7,254.74

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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.