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Finding the Fourth Proportional to 9,921.84, 14,875.08 and 4,446

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Solution

The fourth proportional to 9,921.84, 14,875.08 and 4,446 is: 6,665.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,921.84 : 14,875.08 = 4,446 : x
  2. Step 2: Convert to fraction form
    9,921.84/14,875.08 = 4,446/x
  3. Step 3: Cross multiply
    9,921.84x = 14,875.08 × 4,446
  4. Step 4: Simplify right side
    9,921.84x = 66,134,605.68
  5. Step 5: Solve for x
    x = 66,134,605.68/9,921.84
  6. Step 6: Final answer
    x = 6,665.56

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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.