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Finding the Fourth Proportional to 9,646.79, 14,463.78 and 6,349.88

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Solution

The fourth proportional to 9,646.79, 14,463.78 and 6,349.88 is: 9,520.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.79 : 14,463.78 = 6,349.88 : x
  2. Step 2: Convert to fraction form
    9,646.79/14,463.78 = 6,349.88/x
  3. Step 3: Cross multiply
    9,646.79x = 14,463.78 × 6,349.88
  4. Step 4: Simplify right side
    9,646.79x = 91,843,195.03
  5. Step 5: Solve for x
    x = 91,843,195.03/9,646.79
  6. Step 6: Final answer
    x = 9,520.60

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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.