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Finding the Fourth Proportional to 9,892.25, 14,833.58 and 3,655.19

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Solution

The fourth proportional to 9,892.25, 14,833.58 and 3,655.19 is: 5,481.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.25 : 14,833.58 = 3,655.19 : x
  2. Step 2: Convert to fraction form
    9,892.25/14,833.58 = 3,655.19/x
  3. Step 3: Cross multiply
    9,892.25x = 14,833.58 × 3,655.19
  4. Step 4: Simplify right side
    9,892.25x = 54,219,572.09
  5. Step 5: Solve for x
    x = 54,219,572.09/9,892.25
  6. Step 6: Final answer
    x = 5,481.02

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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.