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Finding the Fourth Proportional to 9,402.86, 12,975.58 and 5,424.68

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Solution

The fourth proportional to 9,402.86, 12,975.58 and 5,424.68 is: 7,485.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.86 : 12,975.58 = 5,424.68 : x
  2. Step 2: Convert to fraction form
    9,402.86/12,975.58 = 5,424.68/x
  3. Step 3: Cross multiply
    9,402.86x = 12,975.58 × 5,424.68
  4. Step 4: Simplify right side
    9,402.86x = 70,388,369.31
  5. Step 5: Solve for x
    x = 70,388,369.31/9,402.86
  6. Step 6: Final answer
    x = 7,485.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.