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Finding the Fourth Proportional to 9,435.82, 13,025.46 and 5,898.28

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Solution

The fourth proportional to 9,435.82, 13,025.46 and 5,898.28 is: 8,142.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,435.82 : 13,025.46 = 5,898.28 : x
  2. Step 2: Convert to fraction form
    9,435.82/13,025.46 = 5,898.28/x
  3. Step 3: Cross multiply
    9,435.82x = 13,025.46 × 5,898.28
  4. Step 4: Simplify right side
    9,435.82x = 76,827,810.21
  5. Step 5: Solve for x
    x = 76,827,810.21/9,435.82
  6. Step 6: Final answer
    x = 8,142.14

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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.