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Finding the Fourth Proportional to 9,767.04, 13,478.46 and 5,290.88

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Solution

The fourth proportional to 9,767.04, 13,478.46 and 5,290.88 is: 7,301.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.04 : 13,478.46 = 5,290.88 : x
  2. Step 2: Convert to fraction form
    9,767.04/13,478.46 = 5,290.88/x
  3. Step 3: Cross multiply
    9,767.04x = 13,478.46 × 5,290.88
  4. Step 4: Simplify right side
    9,767.04x = 71,312,914.44
  5. Step 5: Solve for x
    x = 71,312,914.44/9,767.04
  6. Step 6: Final answer
    x = 7,301.38

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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.