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Finding the Fourth Proportional to 10,354.37, 14,253.98 and 9,356.49

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Solution

The fourth proportional to 10,354.37, 14,253.98 and 9,356.49 is: 12,880.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,354.37 : 14,253.98 = 9,356.49 : x
  2. Step 2: Convert to fraction form
    10,354.37/14,253.98 = 9,356.49/x
  3. Step 3: Cross multiply
    10,354.37x = 14,253.98 × 9,356.49
  4. Step 4: Simplify right side
    10,354.37x = 133,367,174.55
  5. Step 5: Solve for x
    x = 133,367,174.55/10,354.37
  6. Step 6: Final answer
    x = 12,880.29

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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.