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Finding the Fourth Proportional to 9,669.96, 14,494.32 and 4,990.30

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Solution

The fourth proportional to 9,669.96, 14,494.32 and 4,990.30 is: 7,479.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,669.96 : 14,494.32 = 4,990.30 : x
  2. Step 2: Convert to fraction form
    9,669.96/14,494.32 = 4,990.30/x
  3. Step 3: Cross multiply
    9,669.96x = 14,494.32 × 4,990.30
  4. Step 4: Simplify right side
    9,669.96x = 72,331,005.10
  5. Step 5: Solve for x
    x = 72,331,005.10/9,669.96
  6. Step 6: Final answer
    x = 7,479.97

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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.