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Finding the Fourth Proportional to 9,609.78, 14,416.41 and 4,347.28

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Solution

The fourth proportional to 9,609.78, 14,416.41 and 4,347.28 is: 6,521.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,609.78 : 14,416.41 = 4,347.28 : x
  2. Step 2: Convert to fraction form
    9,609.78/14,416.41 = 4,347.28/x
  3. Step 3: Cross multiply
    9,609.78x = 14,416.41 × 4,347.28
  4. Step 4: Simplify right side
    9,609.78x = 62,672,170.86
  5. Step 5: Solve for x
    x = 62,672,170.86/9,609.78
  6. Step 6: Final answer
    x = 6,521.71

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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.