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Finding the Fourth Proportional to 9,243.84, 12,756.84 and 5,052

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Solution

The fourth proportional to 9,243.84, 12,756.84 and 5,052 is: 6,971.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,243.84 : 12,756.84 = 5,052 : x
  2. Step 2: Convert to fraction form
    9,243.84/12,756.84 = 5,052/x
  3. Step 3: Cross multiply
    9,243.84x = 12,756.84 × 5,052
  4. Step 4: Simplify right side
    9,243.84x = 64,447,555.68
  5. Step 5: Solve for x
    x = 64,447,555.68/9,243.84
  6. Step 6: Final answer
    x = 6,971.95

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Why These Related Problems?

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