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Finding the Fourth Proportional to 9,673.77, 14,503.82 and 4,991.79

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Solution

The fourth proportional to 9,673.77, 14,503.82 and 4,991.79 is: 7,484.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.77 : 14,503.82 = 4,991.79 : x
  2. Step 2: Convert to fraction form
    9,673.77/14,503.82 = 4,991.79/x
  3. Step 3: Cross multiply
    9,673.77x = 14,503.82 × 4,991.79
  4. Step 4: Simplify right side
    9,673.77x = 72,399,998.68
  5. Step 5: Solve for x
    x = 72,399,998.68/9,673.77
  6. Step 6: Final answer
    x = 7,484.16

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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.