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Finding the Fourth Proportional to 9,532.98, 14,300.44 and 3,292.18

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Solution

The fourth proportional to 9,532.98, 14,300.44 and 3,292.18 is: 4,938.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,532.98 : 14,300.44 = 3,292.18 : x
  2. Step 2: Convert to fraction form
    9,532.98/14,300.44 = 3,292.18/x
  3. Step 3: Cross multiply
    9,532.98x = 14,300.44 × 3,292.18
  4. Step 4: Simplify right side
    9,532.98x = 47,079,622.56
  5. Step 5: Solve for x
    x = 47,079,622.56/9,532.98
  6. Step 6: Final answer
    x = 4,938.60

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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.