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Finding the Fourth Proportional to 9,833.67, 14,750.51 and 2,908.17

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Solution

The fourth proportional to 9,833.67, 14,750.51 and 2,908.17 is: 4,362.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.67 : 14,750.51 = 2,908.17 : x
  2. Step 2: Convert to fraction form
    9,833.67/14,750.51 = 2,908.17/x
  3. Step 3: Cross multiply
    9,833.67x = 14,750.51 × 2,908.17
  4. Step 4: Simplify right side
    9,833.67x = 42,896,976.13
  5. Step 5: Solve for x
    x = 42,896,976.13/9,833.67
  6. Step 6: Final answer
    x = 4,362.26

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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.