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Finding the Fourth Proportional to 9,819.78, 13,551.36 and 5,343.57

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Solution

The fourth proportional to 9,819.78, 13,551.36 and 5,343.57 is: 7,374.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,819.78 : 13,551.36 = 5,343.57 : x
  2. Step 2: Convert to fraction form
    9,819.78/13,551.36 = 5,343.57/x
  3. Step 3: Cross multiply
    9,819.78x = 13,551.36 × 5,343.57
  4. Step 4: Simplify right side
    9,819.78x = 72,412,640.76
  5. Step 5: Solve for x
    x = 72,412,640.76/9,819.78
  6. Step 6: Final answer
    x = 7,374.16

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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.