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Finding the Fourth Proportional to 9,043.32, 13,571.28 and 3,200.16

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Solution

The fourth proportional to 9,043.32, 13,571.28 and 3,200.16 is: 4,802.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,043.32 : 13,571.28 = 3,200.16 : x
  2. Step 2: Convert to fraction form
    9,043.32/13,571.28 = 3,200.16/x
  3. Step 3: Cross multiply
    9,043.32x = 13,571.28 × 3,200.16
  4. Step 4: Simplify right side
    9,043.32x = 43,430,267.40
  5. Step 5: Solve for x
    x = 43,430,267.40/9,043.32
  6. Step 6: Final answer
    x = 4,802.47

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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.