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Finding the Fourth Proportional to 9,419.76, 14,119.92 and 4,222.80

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Solution

The fourth proportional to 9,419.76, 14,119.92 and 4,222.80 is: 6,329.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,419.76 : 14,119.92 = 4,222.80 : x
  2. Step 2: Convert to fraction form
    9,419.76/14,119.92 = 4,222.80/x
  3. Step 3: Cross multiply
    9,419.76x = 14,119.92 × 4,222.80
  4. Step 4: Simplify right side
    9,419.76x = 59,625,598.18
  5. Step 5: Solve for x
    x = 59,625,598.18/9,419.76
  6. Step 6: Final answer
    x = 6,329.84

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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.