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Finding the Fourth Proportional to 9,619.89, 14,403.77 and 4,993.17

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Solution

The fourth proportional to 9,619.89, 14,403.77 and 4,993.17 is: 7,476.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,619.89 : 14,403.77 = 4,993.17 : x
  2. Step 2: Convert to fraction form
    9,619.89/14,403.77 = 4,993.17/x
  3. Step 3: Cross multiply
    9,619.89x = 14,403.77 × 4,993.17
  4. Step 4: Simplify right side
    9,619.89x = 71,920,411.28
  5. Step 5: Solve for x
    x = 71,920,411.28/9,619.89
  6. Step 6: Final answer
    x = 7,476.22

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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.