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Finding the Fourth Proportional to 9,533.84, 14,300.55 and 3,293.65

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Solution

The fourth proportional to 9,533.84, 14,300.55 and 3,293.65 is: 4,940.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,533.84 : 14,300.55 = 3,293.65 : x
  2. Step 2: Convert to fraction form
    9,533.84/14,300.55 = 3,293.65/x
  3. Step 3: Cross multiply
    9,533.84x = 14,300.55 × 3,293.65
  4. Step 4: Simplify right side
    9,533.84x = 47,101,024.38
  5. Step 5: Solve for x
    x = 47,101,024.38/9,533.84
  6. Step 6: Final answer
    x = 4,940.41

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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.