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Finding the Fourth Proportional to 9,773.64, 14,667.72 and 5,394.84

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Solution

The fourth proportional to 9,773.64, 14,667.72 and 5,394.84 is: 8,096.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.64 : 14,667.72 = 5,394.84 : x
  2. Step 2: Convert to fraction form
    9,773.64/14,667.72 = 5,394.84/x
  3. Step 3: Cross multiply
    9,773.64x = 14,667.72 × 5,394.84
  4. Step 4: Simplify right side
    9,773.64x = 79,130,002.56
  5. Step 5: Solve for x
    x = 79,130,002.56/9,773.64
  6. Step 6: Final answer
    x = 8,096.27

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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.