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Finding the Fourth Proportional to 9,612.86, 14,421.24 and 3,689.51

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Solution

The fourth proportional to 9,612.86, 14,421.24 and 3,689.51 is: 5,535.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.86 : 14,421.24 = 3,689.51 : x
  2. Step 2: Convert to fraction form
    9,612.86/14,421.24 = 3,689.51/x
  3. Step 3: Cross multiply
    9,612.86x = 14,421.24 × 3,689.51
  4. Step 4: Simplify right side
    9,612.86x = 53,207,237.09
  5. Step 5: Solve for x
    x = 53,207,237.09/9,612.86
  6. Step 6: Final answer
    x = 5,535.01

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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.