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Finding the Fourth Proportional to 9,776.43, 13,491.54 and 5,300.25

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Solution

The fourth proportional to 9,776.43, 13,491.54 and 5,300.25 is: 7,314.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.43 : 13,491.54 = 5,300.25 : x
  2. Step 2: Convert to fraction form
    9,776.43/13,491.54 = 5,300.25/x
  3. Step 3: Cross multiply
    9,776.43x = 13,491.54 × 5,300.25
  4. Step 4: Simplify right side
    9,776.43x = 71,508,534.89
  5. Step 5: Solve for x
    x = 71,508,534.89/9,776.43
  6. Step 6: Final answer
    x = 7,314.38

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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.