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Finding the Fourth Proportional to 10,348.96, 14,301.84 and 9,196.96

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Solution

The fourth proportional to 10,348.96, 14,301.84 and 9,196.96 is: 12,709.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,348.96 : 14,301.84 = 9,196.96 : x
  2. Step 2: Convert to fraction form
    10,348.96/14,301.84 = 9,196.96/x
  3. Step 3: Cross multiply
    10,348.96x = 14,301.84 × 9,196.96
  4. Step 4: Simplify right side
    10,348.96x = 131,533,450.41
  5. Step 5: Solve for x
    x = 131,533,450.41/10,348.96
  6. Step 6: Final answer
    x = 12,709.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.