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Finding the Fourth Proportional to 9,833.69, 14,752.86 and 4,288.03

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Solution

The fourth proportional to 9,833.69, 14,752.86 and 4,288.03 is: 6,433.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.69 : 14,752.86 = 4,288.03 : x
  2. Step 2: Convert to fraction form
    9,833.69/14,752.86 = 4,288.03/x
  3. Step 3: Cross multiply
    9,833.69x = 14,752.86 × 4,288.03
  4. Step 4: Simplify right side
    9,833.69x = 63,260,706.27
  5. Step 5: Solve for x
    x = 63,260,706.27/9,833.69
  6. Step 6: Final answer
    x = 6,433.06

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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.