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Finding the Fourth Proportional to 9,762.89, 13,472.80 and 5,514.86

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Solution

The fourth proportional to 9,762.89, 13,472.80 and 5,514.86 is: 7,610.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.89 : 13,472.80 = 5,514.86 : x
  2. Step 2: Convert to fraction form
    9,762.89/13,472.80 = 5,514.86/x
  3. Step 3: Cross multiply
    9,762.89x = 13,472.80 × 5,514.86
  4. Step 4: Simplify right side
    9,762.89x = 74,300,599.44
  5. Step 5: Solve for x
    x = 74,300,599.44/9,762.89
  6. Step 6: Final answer
    x = 7,610.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.