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Finding the Fourth Proportional to 9,776.33, 14,666.62 and 3,535.69

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Solution

The fourth proportional to 9,776.33, 14,666.62 and 3,535.69 is: 5,304.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.33 : 14,666.62 = 3,535.69 : x
  2. Step 2: Convert to fraction form
    9,776.33/14,666.62 = 3,535.69/x
  3. Step 3: Cross multiply
    9,776.33x = 14,666.62 × 3,535.69
  4. Step 4: Simplify right side
    9,776.33x = 51,856,585.62
  5. Step 5: Solve for x
    x = 51,856,585.62/9,776.33
  6. Step 6: Final answer
    x = 5,304.30

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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.