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Finding the Fourth Proportional to 9,573.53, 14,360.37 and 3,338

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Solution

The fourth proportional to 9,573.53, 14,360.37 and 3,338 is: 5,007.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,573.53 : 14,360.37 = 3,338 : x
  2. Step 2: Convert to fraction form
    9,573.53/14,360.37 = 3,338/x
  3. Step 3: Cross multiply
    9,573.53x = 14,360.37 × 3,338
  4. Step 4: Simplify right side
    9,573.53x = 47,934,915.06
  5. Step 5: Solve for x
    x = 47,934,915.06/9,573.53
  6. Step 6: Final answer
    x = 5,007.03

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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.