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Finding the Fourth Proportional to 9,264.36, 13,901.22 and 4,647

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Solution

The fourth proportional to 9,264.36, 13,901.22 and 4,647 is: 6,972.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.36 : 13,901.22 = 4,647 : x
  2. Step 2: Convert to fraction form
    9,264.36/13,901.22 = 4,647/x
  3. Step 3: Cross multiply
    9,264.36x = 13,901.22 × 4,647
  4. Step 4: Simplify right side
    9,264.36x = 64,598,969.34
  5. Step 5: Solve for x
    x = 64,598,969.34/9,264.36
  6. Step 6: Final answer
    x = 6,972.85

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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.