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Finding the Fourth Proportional to 9,966.12, 14,932.71 and 4,411.14

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Solution

The fourth proportional to 9,966.12, 14,932.71 and 4,411.14 is: 6,609.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966.12 : 14,932.71 = 4,411.14 : x
  2. Step 2: Convert to fraction form
    9,966.12/14,932.71 = 4,411.14/x
  3. Step 3: Cross multiply
    9,966.12x = 14,932.71 × 4,411.14
  4. Step 4: Simplify right side
    9,966.12x = 65,870,274.39
  5. Step 5: Solve for x
    x = 65,870,274.39/9,966.12
  6. Step 6: Final answer
    x = 6,609.42

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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.