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Finding the Fourth Proportional to 9,663.40, 14,466.30 and 9,093.80

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Solution

The fourth proportional to 9,663.40, 14,466.30 and 9,093.80 is: 13,613.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.40 : 14,466.30 = 9,093.80 : x
  2. Step 2: Convert to fraction form
    9,663.40/14,466.30 = 9,093.80/x
  3. Step 3: Cross multiply
    9,663.40x = 14,466.30 × 9,093.80
  4. Step 4: Simplify right side
    9,663.40x = 131,553,638.94
  5. Step 5: Solve for x
    x = 131,553,638.94/9,663.40
  6. Step 6: Final answer
    x = 13,613.60

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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.