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Finding the Fourth Proportional to 9,425.64, 14,143.90 and 5,045.54

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Solution

The fourth proportional to 9,425.64, 14,143.90 and 5,045.54 is: 7,571.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,425.64 : 14,143.90 = 5,045.54 : x
  2. Step 2: Convert to fraction form
    9,425.64/14,143.90 = 5,045.54/x
  3. Step 3: Cross multiply
    9,425.64x = 14,143.90 × 5,045.54
  4. Step 4: Simplify right side
    9,425.64x = 71,363,613.21
  5. Step 5: Solve for x
    x = 71,363,613.21/9,425.64
  6. Step 6: Final answer
    x = 7,571.22

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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.