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Finding the Fourth Proportional to 9,776.21, 14,662.68 and 3,535.04

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Solution

The fourth proportional to 9,776.21, 14,662.68 and 3,535.04 is: 5,301.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.21 : 14,662.68 = 3,535.04 : x
  2. Step 2: Convert to fraction form
    9,776.21/14,662.68 = 3,535.04/x
  3. Step 3: Cross multiply
    9,776.21x = 14,662.68 × 3,535.04
  4. Step 4: Simplify right side
    9,776.21x = 51,833,160.31
  5. Step 5: Solve for x
    x = 51,833,160.31/9,776.21
  6. Step 6: Final answer
    x = 5,301.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.