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Finding the Fourth Proportional to 9,966.54, 14,942.88 and 4,416.84

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Solution

The fourth proportional to 9,966.54, 14,942.88 and 4,416.84 is: 6,622.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966.54 : 14,942.88 = 4,416.84 : x
  2. Step 2: Convert to fraction form
    9,966.54/14,942.88 = 4,416.84/x
  3. Step 3: Cross multiply
    9,966.54x = 14,942.88 × 4,416.84
  4. Step 4: Simplify right side
    9,966.54x = 66,000,310.10
  5. Step 5: Solve for x
    x = 66,000,310.10/9,966.54
  6. Step 6: Final answer
    x = 6,622.19

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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.