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Finding the Fourth Proportional to 9,819.84, 13,551.30 and 5,628

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Solution

The fourth proportional to 9,819.84, 13,551.30 and 5,628 is: 7,766.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,819.84 : 13,551.30 = 5,628 : x
  2. Step 2: Convert to fraction form
    9,819.84/13,551.30 = 5,628/x
  3. Step 3: Cross multiply
    9,819.84x = 13,551.30 × 5,628
  4. Step 4: Simplify right side
    9,819.84x = 76,266,716.40
  5. Step 5: Solve for x
    x = 76,266,716.40/9,819.84
  6. Step 6: Final answer
    x = 7,766.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.