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Finding the Fourth Proportional to 9,717.88, 14,578.34 and 3,053.86

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Solution

The fourth proportional to 9,717.88, 14,578.34 and 3,053.86 is: 4,581.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717.88 : 14,578.34 = 3,053.86 : x
  2. Step 2: Convert to fraction form
    9,717.88/14,578.34 = 3,053.86/x
  3. Step 3: Cross multiply
    9,717.88x = 14,578.34 × 3,053.86
  4. Step 4: Simplify right side
    9,717.88x = 44,520,209.39
  5. Step 5: Solve for x
    x = 44,520,209.39/9,717.88
  6. Step 6: Final answer
    x = 4,581.27

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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.