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Finding the Fourth Proportional to 9,270.52, 13,896.06 and 4,336

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Solution

The fourth proportional to 9,270.52, 13,896.06 and 4,336 is: 6,499.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,270.52 : 13,896.06 = 4,336 : x
  2. Step 2: Convert to fraction form
    9,270.52/13,896.06 = 4,336/x
  3. Step 3: Cross multiply
    9,270.52x = 13,896.06 × 4,336
  4. Step 4: Simplify right side
    9,270.52x = 60,253,316.16
  5. Step 5: Solve for x
    x = 60,253,316.16/9,270.52
  6. Step 6: Final answer
    x = 6,499.45

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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.