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Finding the Fourth Proportional to 9,835.36, 14,754 and 4,639.84

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Solution

The fourth proportional to 9,835.36, 14,754 and 4,639.84 is: 6,960.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,835.36 : 14,754 = 4,639.84 : x
  2. Step 2: Convert to fraction form
    9,835.36/14,754 = 4,639.84/x
  3. Step 3: Cross multiply
    9,835.36x = 14,754 × 4,639.84
  4. Step 4: Simplify right side
    9,835.36x = 68,456,199.36
  5. Step 5: Solve for x
    x = 68,456,199.36/9,835.36
  6. Step 6: Final answer
    x = 6,960.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.