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Finding the Fourth Proportional to 9,272.52, 13,899.06 and 4,338

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Solution

The fourth proportional to 9,272.52, 13,899.06 and 4,338 is: 6,502.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,272.52 : 13,899.06 = 4,338 : x
  2. Step 2: Convert to fraction form
    9,272.52/13,899.06 = 4,338/x
  3. Step 3: Cross multiply
    9,272.52x = 13,899.06 × 4,338
  4. Step 4: Simplify right side
    9,272.52x = 60,294,122.28
  5. Step 5: Solve for x
    x = 60,294,122.28/9,272.52
  6. Step 6: Final answer
    x = 6,502.45

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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.