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Finding the Fourth Proportional to 10,396.88, 14,348.28 and 9,697.04

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Solution

The fourth proportional to 10,396.88, 14,348.28 and 9,697.04 is: 13,382.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,396.88 : 14,348.28 = 9,697.04 : x
  2. Step 2: Convert to fraction form
    10,396.88/14,348.28 = 9,697.04/x
  3. Step 3: Cross multiply
    10,396.88x = 14,348.28 × 9,697.04
  4. Step 4: Simplify right side
    10,396.88x = 139,135,845.09
  5. Step 5: Solve for x
    x = 139,135,845.09/10,396.88
  6. Step 6: Final answer
    x = 13,382.46

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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.