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Finding the Fourth Proportional to 9,776.30, 13,491.29 and 5,300.03

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Solution

The fourth proportional to 9,776.30, 13,491.29 and 5,300.03 is: 7,314.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.30 : 13,491.29 = 5,300.03 : x
  2. Step 2: Convert to fraction form
    9,776.30/13,491.29 = 5,300.03/x
  3. Step 3: Cross multiply
    9,776.30x = 13,491.29 × 5,300.03
  4. Step 4: Simplify right side
    9,776.30x = 71,504,288.72
  5. Step 5: Solve for x
    x = 71,504,288.72/9,776.30
  6. Step 6: Final answer
    x = 7,314.05

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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.