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Finding the Fourth Proportional to 9,776.26, 13,491.30 and 5,300.08

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Solution

The fourth proportional to 9,776.26, 13,491.30 and 5,300.08 is: 7,314.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.26 : 13,491.30 = 5,300.08 : x
  2. Step 2: Convert to fraction form
    9,776.26/13,491.30 = 5,300.08/x
  3. Step 3: Cross multiply
    9,776.26x = 13,491.30 × 5,300.08
  4. Step 4: Simplify right side
    9,776.26x = 71,504,969.30
  5. Step 5: Solve for x
    x = 71,504,969.30/9,776.26
  6. Step 6: Final answer
    x = 7,314.14

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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.