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Finding the Fourth Proportional to 9,646.10, 14,450.34 and 6,349.22

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Solution

The fourth proportional to 9,646.10, 14,450.34 and 6,349.22 is: 9,511.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.10 : 14,450.34 = 6,349.22 : x
  2. Step 2: Convert to fraction form
    9,646.10/14,450.34 = 6,349.22/x
  3. Step 3: Cross multiply
    9,646.10x = 14,450.34 × 6,349.22
  4. Step 4: Simplify right side
    9,646.10x = 91,748,387.73
  5. Step 5: Solve for x
    x = 91,748,387.73/9,646.10
  6. Step 6: Final answer
    x = 9,511.45

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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.