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Finding the Fourth Proportional to 9,782.58, 13,500.20 and 5,533.43

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Solution

The fourth proportional to 9,782.58, 13,500.20 and 5,533.43 is: 7,636.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.58 : 13,500.20 = 5,533.43 : x
  2. Step 2: Convert to fraction form
    9,782.58/13,500.20 = 5,533.43/x
  3. Step 3: Cross multiply
    9,782.58x = 13,500.20 × 5,533.43
  4. Step 4: Simplify right side
    9,782.58x = 74,702,410.61
  5. Step 5: Solve for x
    x = 74,702,410.61/9,782.58
  6. Step 6: Final answer
    x = 7,636.27

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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.