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Finding the Fourth Proportional to 9,822, 13,554.36 and 5,406

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Solution

The fourth proportional to 9,822, 13,554.36 and 5,406 is: 7,460.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822 : 13,554.36 = 5,406 : x
  2. Step 2: Convert to fraction form
    9,822/13,554.36 = 5,406/x
  3. Step 3: Cross multiply
    9,822x = 13,554.36 × 5,406
  4. Step 4: Simplify right side
    9,822x = 73,274,870.16
  5. Step 5: Solve for x
    x = 73,274,870.16/9,822
  6. Step 6: Final answer
    x = 7,460.28

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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.