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Finding the Fourth Proportional to 9,124.32, 13,678.46 and 3,200.24

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Solution

The fourth proportional to 9,124.32, 13,678.46 and 3,200.24 is: 4,797.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,124.32 : 13,678.46 = 3,200.24 : x
  2. Step 2: Convert to fraction form
    9,124.32/13,678.46 = 3,200.24/x
  3. Step 3: Cross multiply
    9,124.32x = 13,678.46 × 3,200.24
  4. Step 4: Simplify right side
    9,124.32x = 43,774,354.83
  5. Step 5: Solve for x
    x = 43,774,354.83/9,124.32
  6. Step 6: Final answer
    x = 4,797.55

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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.