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Finding the Fourth Proportional to 9,507.84, 14,256.96 and 5,613.44

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Solution

The fourth proportional to 9,507.84, 14,256.96 and 5,613.44 is: 8,417.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,507.84 : 14,256.96 = 5,613.44 : x
  2. Step 2: Convert to fraction form
    9,507.84/14,256.96 = 5,613.44/x
  3. Step 3: Cross multiply
    9,507.84x = 14,256.96 × 5,613.44
  4. Step 4: Simplify right side
    9,507.84x = 80,030,589.54
  5. Step 5: Solve for x
    x = 80,030,589.54/9,507.84
  6. Step 6: Final answer
    x = 8,417.33

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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.