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Finding the Fourth Proportional to 9,756.15, 14,632.38 and 3,182.58

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Solution

The fourth proportional to 9,756.15, 14,632.38 and 3,182.58 is: 4,773.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.15 : 14,632.38 = 3,182.58 : x
  2. Step 2: Convert to fraction form
    9,756.15/14,632.38 = 3,182.58/x
  3. Step 3: Cross multiply
    9,756.15x = 14,632.38 × 3,182.58
  4. Step 4: Simplify right side
    9,756.15x = 46,568,719.94
  5. Step 5: Solve for x
    x = 46,568,719.94/9,756.15
  6. Step 6: Final answer
    x = 4,773.27

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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.