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Finding the Fourth Proportional to 9,216.32, 13,824.40 and 4,283.22

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Solution

The fourth proportional to 9,216.32, 13,824.40 and 4,283.22 is: 6,424.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,216.32 : 13,824.40 = 4,283.22 : x
  2. Step 2: Convert to fraction form
    9,216.32/13,824.40 = 4,283.22/x
  3. Step 3: Cross multiply
    9,216.32x = 13,824.40 × 4,283.22
  4. Step 4: Simplify right side
    9,216.32x = 59,212,946.57
  5. Step 5: Solve for x
    x = 59,212,946.57/9,216.32
  6. Step 6: Final answer
    x = 6,424.79

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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.