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Finding the Fourth Proportional to 9,923.84, 14,878.08 and 4,448

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Solution

The fourth proportional to 9,923.84, 14,878.08 and 4,448 is: 6,668.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,923.84 : 14,878.08 = 4,448 : x
  2. Step 2: Convert to fraction form
    9,923.84/14,878.08 = 4,448/x
  3. Step 3: Cross multiply
    9,923.84x = 14,878.08 × 4,448
  4. Step 4: Simplify right side
    9,923.84x = 66,177,699.84
  5. Step 5: Solve for x
    x = 66,177,699.84/9,923.84
  6. Step 6: Final answer
    x = 6,668.56

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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.