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Finding the Fourth Proportional to 9,356.54, 14,034.90 and 2,431.04

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Solution

The fourth proportional to 9,356.54, 14,034.90 and 2,431.04 is: 3,646.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,356.54 : 14,034.90 = 2,431.04 : x
  2. Step 2: Convert to fraction form
    9,356.54/14,034.90 = 2,431.04/x
  3. Step 3: Cross multiply
    9,356.54x = 14,034.90 × 2,431.04
  4. Step 4: Simplify right side
    9,356.54x = 34,119,403.30
  5. Step 5: Solve for x
    x = 34,119,403.30/9,356.54
  6. Step 6: Final answer
    x = 3,646.58

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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.