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Finding the Fourth Proportional to 9,828.84, 13,564.44 and 7,446.04

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Solution

The fourth proportional to 9,828.84, 13,564.44 and 7,446.04 is: 10,276.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,828.84 : 13,564.44 = 7,446.04 : x
  2. Step 2: Convert to fraction form
    9,828.84/13,564.44 = 7,446.04/x
  3. Step 3: Cross multiply
    9,828.84x = 13,564.44 × 7,446.04
  4. Step 4: Simplify right side
    9,828.84x = 101,001,362.82
  5. Step 5: Solve for x
    x = 101,001,362.82/9,828.84
  6. Step 6: Final answer
    x = 10,276.02

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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.