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Finding the Fourth Proportional to 9,265.84, 12,786.52 and 5,074.12

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Solution

The fourth proportional to 9,265.84, 12,786.52 and 5,074.12 is: 7,002.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,265.84 : 12,786.52 = 5,074.12 : x
  2. Step 2: Convert to fraction form
    9,265.84/12,786.52 = 5,074.12/x
  3. Step 3: Cross multiply
    9,265.84x = 12,786.52 × 5,074.12
  4. Step 4: Simplify right side
    9,265.84x = 64,880,336.86
  5. Step 5: Solve for x
    x = 64,880,336.86/9,265.84
  6. Step 6: Final answer
    x = 7,002.10

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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.