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Finding the Fourth Proportional to 9,858.42, 13,604.54 and 5,382.17

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Solution

The fourth proportional to 9,858.42, 13,604.54 and 5,382.17 is: 7,427.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858.42 : 13,604.54 = 5,382.17 : x
  2. Step 2: Convert to fraction form
    9,858.42/13,604.54 = 5,382.17/x
  3. Step 3: Cross multiply
    9,858.42x = 13,604.54 × 5,382.17
  4. Step 4: Simplify right side
    9,858.42x = 73,221,892.48
  5. Step 5: Solve for x
    x = 73,221,892.48/9,858.42
  6. Step 6: Final answer
    x = 7,427.35

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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.