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Finding the Fourth Proportional to 9,859.30, 13,605.75 and 5,382.98

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Solution

The fourth proportional to 9,859.30, 13,605.75 and 5,382.98 is: 7,428.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,859.30 : 13,605.75 = 5,382.98 : x
  2. Step 2: Convert to fraction form
    9,859.30/13,605.75 = 5,382.98/x
  3. Step 3: Cross multiply
    9,859.30x = 13,605.75 × 5,382.98
  4. Step 4: Simplify right side
    9,859.30x = 73,239,480.14
  5. Step 5: Solve for x
    x = 73,239,480.14/9,859.30
  6. Step 6: Final answer
    x = 7,428.47

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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.