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Finding the Fourth Proportional to 9,533.94, 14,309.85 and 5,154.84

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Solution

The fourth proportional to 9,533.94, 14,309.85 and 5,154.84 is: 7,737.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,533.94 : 14,309.85 = 5,154.84 : x
  2. Step 2: Convert to fraction form
    9,533.94/14,309.85 = 5,154.84/x
  3. Step 3: Cross multiply
    9,533.94x = 14,309.85 × 5,154.84
  4. Step 4: Simplify right side
    9,533.94x = 73,764,987.17
  5. Step 5: Solve for x
    x = 73,764,987.17/9,533.94
  6. Step 6: Final answer
    x = 7,737.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.