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Finding the Fourth Proportional to 9,223.52, 13,833.36 and 2,984.08

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Solution

The fourth proportional to 9,223.52, 13,833.36 and 2,984.08 is: 4,475.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223.52 : 13,833.36 = 2,984.08 : x
  2. Step 2: Convert to fraction form
    9,223.52/13,833.36 = 2,984.08/x
  3. Step 3: Cross multiply
    9,223.52x = 13,833.36 × 2,984.08
  4. Step 4: Simplify right side
    9,223.52x = 41,279,852.91
  5. Step 5: Solve for x
    x = 41,279,852.91/9,223.52
  6. Step 6: Final answer
    x = 4,475.50

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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.