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Finding the Fourth Proportional to 9,732.96, 14,599.80 and 3,157.20

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Solution

The fourth proportional to 9,732.96, 14,599.80 and 3,157.20 is: 4,735.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.96 : 14,599.80 = 3,157.20 : x
  2. Step 2: Convert to fraction form
    9,732.96/14,599.80 = 3,157.20/x
  3. Step 3: Cross multiply
    9,732.96x = 14,599.80 × 3,157.20
  4. Step 4: Simplify right side
    9,732.96x = 46,094,488.56
  5. Step 5: Solve for x
    x = 46,094,488.56/9,732.96
  6. Step 6: Final answer
    x = 4,735.92

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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.