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Finding the Fourth Proportional to 9,383.64, 12,948.78 and 5,192.04

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Solution

The fourth proportional to 9,383.64, 12,948.78 and 5,192.04 is: 7,164.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,383.64 : 12,948.78 = 5,192.04 : x
  2. Step 2: Convert to fraction form
    9,383.64/12,948.78 = 5,192.04/x
  3. Step 3: Cross multiply
    9,383.64x = 12,948.78 × 5,192.04
  4. Step 4: Simplify right side
    9,383.64x = 67,230,583.71
  5. Step 5: Solve for x
    x = 67,230,583.71/9,383.64
  6. Step 6: Final answer
    x = 7,164.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.