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Finding the Fourth Proportional to 9,262.40, 13,874.86 and 4,325.20

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Solution

The fourth proportional to 9,262.40, 13,874.86 and 4,325.20 is: 6,479.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.40 : 13,874.86 = 4,325.20 : x
  2. Step 2: Convert to fraction form
    9,262.40/13,874.86 = 4,325.20/x
  3. Step 3: Cross multiply
    9,262.40x = 13,874.86 × 4,325.20
  4. Step 4: Simplify right side
    9,262.40x = 60,011,544.47
  5. Step 5: Solve for x
    x = 60,011,544.47/9,262.40
  6. Step 6: Final answer
    x = 6,479.05

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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.