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Finding the Fourth Proportional to 9,264.19, 13,900.13 and 3,721.46

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Solution

The fourth proportional to 9,264.19, 13,900.13 and 3,721.46 is: 5,583.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.19 : 13,900.13 = 3,721.46 : x
  2. Step 2: Convert to fraction form
    9,264.19/13,900.13 = 3,721.46/x
  3. Step 3: Cross multiply
    9,264.19x = 13,900.13 × 3,721.46
  4. Step 4: Simplify right side
    9,264.19x = 51,728,821.84
  5. Step 5: Solve for x
    x = 51,728,821.84/9,264.19
  6. Step 6: Final answer
    x = 5,583.74

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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.