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Finding the Fourth Proportional to 9,538.62, 14,308 and 2,964.66

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Solution

The fourth proportional to 9,538.62, 14,308 and 2,964.66 is: 4,447.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,538.62 : 14,308 = 2,964.66 : x
  2. Step 2: Convert to fraction form
    9,538.62/14,308 = 2,964.66/x
  3. Step 3: Cross multiply
    9,538.62x = 14,308 × 2,964.66
  4. Step 4: Simplify right side
    9,538.62x = 42,418,355.28
  5. Step 5: Solve for x
    x = 42,418,355.28/9,538.62
  6. Step 6: Final answer
    x = 4,447.01

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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.