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Finding the Fourth Proportional to 9,952.94, 13,735.04 and 5,476.76

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Solution

The fourth proportional to 9,952.94, 13,735.04 and 5,476.76 is: 7,557.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952.94 : 13,735.04 = 5,476.76 : x
  2. Step 2: Convert to fraction form
    9,952.94/13,735.04 = 5,476.76/x
  3. Step 3: Cross multiply
    9,952.94x = 13,735.04 × 5,476.76
  4. Step 4: Simplify right side
    9,952.94x = 75,223,517.67
  5. Step 5: Solve for x
    x = 75,223,517.67/9,952.94
  6. Step 6: Final answer
    x = 7,557.92

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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.