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Finding the Fourth Proportional to 9,225.52, 12,731 and 5,033.84

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Solution

The fourth proportional to 9,225.52, 12,731 and 5,033.84 is: 6,946.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225.52 : 12,731 = 5,033.84 : x
  2. Step 2: Convert to fraction form
    9,225.52/12,731 = 5,033.84/x
  3. Step 3: Cross multiply
    9,225.52x = 12,731 × 5,033.84
  4. Step 4: Simplify right side
    9,225.52x = 64,085,817.04
  5. Step 5: Solve for x
    x = 64,085,817.04/9,225.52
  6. Step 6: Final answer
    x = 6,946.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.