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Finding the Fourth Proportional to 9,262.84, 12,782.64 and 5,013.88

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Solution

The fourth proportional to 9,262.84, 12,782.64 and 5,013.88 is: 6,919.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.84 : 12,782.64 = 5,013.88 : x
  2. Step 2: Convert to fraction form
    9,262.84/12,782.64 = 5,013.88/x
  3. Step 3: Cross multiply
    9,262.84x = 12,782.64 × 5,013.88
  4. Step 4: Simplify right side
    9,262.84x = 64,090,623.04
  5. Step 5: Solve for x
    x = 64,090,623.04/9,262.84
  6. Step 6: Final answer
    x = 6,919.11

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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.