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Finding the Fourth Proportional to 9,033.24, 13,549.86 and 4,413

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Solution

The fourth proportional to 9,033.24, 13,549.86 and 4,413 is: 6,619.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,033.24 : 13,549.86 = 4,413 : x
  2. Step 2: Convert to fraction form
    9,033.24/13,549.86 = 4,413/x
  3. Step 3: Cross multiply
    9,033.24x = 13,549.86 × 4,413
  4. Step 4: Simplify right side
    9,033.24x = 59,795,532.18
  5. Step 5: Solve for x
    x = 59,795,532.18/9,033.24
  6. Step 6: Final answer
    x = 6,619.50

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Why These Related Problems?

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