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Finding the Fourth Proportional to 9,921.84, 14,882.76 and 4,446

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Solution

The fourth proportional to 9,921.84, 14,882.76 and 4,446 is: 6,669

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,921.84 : 14,882.76 = 4,446 : x
  2. Step 2: Convert to fraction form
    9,921.84/14,882.76 = 4,446/x
  3. Step 3: Cross multiply
    9,921.84x = 14,882.76 × 4,446
  4. Step 4: Simplify right side
    9,921.84x = 66,168,750.96
  5. Step 5: Solve for x
    x = 66,168,750.96/9,921.84
  6. Step 6: Final answer
    x = 6,669

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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.