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Finding the Fourth Proportional to 9,820, 13,551.48 and 5,841.04

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Solution

The fourth proportional to 9,820, 13,551.48 and 5,841.04 is: 8,060.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,820 : 13,551.48 = 5,841.04 : x
  2. Step 2: Convert to fraction form
    9,820/13,551.48 = 5,841.04/x
  3. Step 3: Cross multiply
    9,820x = 13,551.48 × 5,841.04
  4. Step 4: Simplify right side
    9,820x = 79,154,736.74
  5. Step 5: Solve for x
    x = 79,154,736.74/9,820
  6. Step 6: Final answer
    x = 8,060.56

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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.