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Finding the Fourth Proportional to 9,096.49, 13,648.38 and 2,857.47

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Solution

The fourth proportional to 9,096.49, 13,648.38 and 2,857.47 is: 4,287.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096.49 : 13,648.38 = 2,857.47 : x
  2. Step 2: Convert to fraction form
    9,096.49/13,648.38 = 2,857.47/x
  3. Step 3: Cross multiply
    9,096.49x = 13,648.38 × 2,857.47
  4. Step 4: Simplify right side
    9,096.49x = 38,999,836.40
  5. Step 5: Solve for x
    x = 38,999,836.40/9,096.49
  6. Step 6: Final answer
    x = 4,287.35

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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.