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Finding the Fourth Proportional to 9,858.76, 13,604.70 and 5,382.70

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Solution

The fourth proportional to 9,858.76, 13,604.70 and 5,382.70 is: 7,427.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858.76 : 13,604.70 = 5,382.70 : x
  2. Step 2: Convert to fraction form
    9,858.76/13,604.70 = 5,382.70/x
  3. Step 3: Cross multiply
    9,858.76x = 13,604.70 × 5,382.70
  4. Step 4: Simplify right side
    9,858.76x = 73,230,018.69
  5. Step 5: Solve for x
    x = 73,230,018.69/9,858.76
  6. Step 6: Final answer
    x = 7,427.91

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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.