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Finding the Fourth Proportional to 9,776.75, 13,491.54 and 5,300.42

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Solution

The fourth proportional to 9,776.75, 13,491.54 and 5,300.42 is: 7,314.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.75 : 13,491.54 = 5,300.42 : x
  2. Step 2: Convert to fraction form
    9,776.75/13,491.54 = 5,300.42/x
  3. Step 3: Cross multiply
    9,776.75x = 13,491.54 × 5,300.42
  4. Step 4: Simplify right side
    9,776.75x = 71,510,760.99
  5. Step 5: Solve for x
    x = 71,510,760.99/9,776.75
  6. Step 6: Final answer
    x = 7,314.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.