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Finding the Fourth Proportional to 9,459.56, 13,052.58 and 5,267

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Solution

The fourth proportional to 9,459.56, 13,052.58 and 5,267 is: 7,267.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,459.56 : 13,052.58 = 5,267 : x
  2. Step 2: Convert to fraction form
    9,459.56/13,052.58 = 5,267/x
  3. Step 3: Cross multiply
    9,459.56x = 13,052.58 × 5,267
  4. Step 4: Simplify right side
    9,459.56x = 68,747,938.86
  5. Step 5: Solve for x
    x = 68,747,938.86/9,459.56
  6. Step 6: Final answer
    x = 7,267.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.