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Finding the Fourth Proportional to 9,205.92, 13,810.88 and 3,362.48

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Solution

The fourth proportional to 9,205.92, 13,810.88 and 3,362.48 is: 5,044.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.92 : 13,810.88 = 3,362.48 : x
  2. Step 2: Convert to fraction form
    9,205.92/13,810.88 = 3,362.48/x
  3. Step 3: Cross multiply
    9,205.92x = 13,810.88 × 3,362.48
  4. Step 4: Simplify right side
    9,205.92x = 46,438,807.78
  5. Step 5: Solve for x
    x = 46,438,807.78/9,205.92
  6. Step 6: Final answer
    x = 5,044.45

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1.5x scale

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.