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Finding the Fourth Proportional to 9,264.76, 13,892.82 and 5,370.28

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Solution

The fourth proportional to 9,264.76, 13,892.82 and 5,370.28 is: 8,052.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.76 : 13,892.82 = 5,370.28 : x
  2. Step 2: Convert to fraction form
    9,264.76/13,892.82 = 5,370.28/x
  3. Step 3: Cross multiply
    9,264.76x = 13,892.82 × 5,370.28
  4. Step 4: Simplify right side
    9,264.76x = 74,608,333.39
  5. Step 5: Solve for x
    x = 74,608,333.39/9,264.76
  6. Step 6: Final answer
    x = 8,052.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.