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Finding the Fourth Proportional to 9,819.43, 13,551.10 and 5,343.47

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Solution

The fourth proportional to 9,819.43, 13,551.10 and 5,343.47 is: 7,374.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,819.43 : 13,551.10 = 5,343.47 : x
  2. Step 2: Convert to fraction form
    9,819.43/13,551.10 = 5,343.47/x
  3. Step 3: Cross multiply
    9,819.43x = 13,551.10 × 5,343.47
  4. Step 4: Simplify right side
    9,819.43x = 72,409,866.02
  5. Step 5: Solve for x
    x = 72,409,866.02/9,819.43
  6. Step 6: Final answer
    x = 7,374.14

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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.