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Finding the Fourth Proportional to 9,533.00, 13,154.96 and 5,600.63

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Solution

The fourth proportional to 9,533.00, 13,154.96 and 5,600.63 is: 7,728.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,533.00 : 13,154.96 = 5,600.63 : x
  2. Step 2: Convert to fraction form
    9,533.00/13,154.96 = 5,600.63/x
  3. Step 3: Cross multiply
    9,533.00x = 13,154.96 × 5,600.63
  4. Step 4: Simplify right side
    9,533.00x = 73,675,969.85
  5. Step 5: Solve for x
    x = 73,675,969.85/9,533.00
  6. Step 6: Final answer
    x = 7,728.52

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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.