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Finding the Fourth Proportional to 9,506.98, 14,259.66 and 2,933.22

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Solution

The fourth proportional to 9,506.98, 14,259.66 and 2,933.22 is: 4,399.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506.98 : 14,259.66 = 2,933.22 : x
  2. Step 2: Convert to fraction form
    9,506.98/14,259.66 = 2,933.22/x
  3. Step 3: Cross multiply
    9,506.98x = 14,259.66 × 2,933.22
  4. Step 4: Simplify right side
    9,506.98x = 41,826,719.91
  5. Step 5: Solve for x
    x = 41,826,719.91/9,506.98
  6. Step 6: Final answer
    x = 4,399.58

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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.