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Finding the Fourth Proportional to 9,771.19, 14,660.88 and 4,221.68

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Solution

The fourth proportional to 9,771.19, 14,660.88 and 4,221.68 is: 6,334.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.19 : 14,660.88 = 4,221.68 : x
  2. Step 2: Convert to fraction form
    9,771.19/14,660.88 = 4,221.68/x
  3. Step 3: Cross multiply
    9,771.19x = 14,660.88 × 4,221.68
  4. Step 4: Simplify right side
    9,771.19x = 61,893,543.88
  5. Step 5: Solve for x
    x = 61,893,543.88/9,771.19
  6. Step 6: Final answer
    x = 6,334.29

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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.