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Finding the Fourth Proportional to 9,933.57, 14,886.51 and 7,465.51

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Solution

The fourth proportional to 9,933.57, 14,886.51 and 7,465.51 is: 11,187.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,933.57 : 14,886.51 = 7,465.51 : x
  2. Step 2: Convert to fraction form
    9,933.57/14,886.51 = 7,465.51/x
  3. Step 3: Cross multiply
    9,933.57x = 14,886.51 × 7,465.51
  4. Step 4: Simplify right side
    9,933.57x = 111,135,389.27
  5. Step 5: Solve for x
    x = 111,135,389.27/9,933.57
  6. Step 6: Final answer
    x = 11,187.86

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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.