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Finding the Fourth Proportional to 9,476.76, 13,078.18 and 5,285.28

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Solution

The fourth proportional to 9,476.76, 13,078.18 and 5,285.28 is: 7,293.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,476.76 : 13,078.18 = 5,285.28 : x
  2. Step 2: Convert to fraction form
    9,476.76/13,078.18 = 5,285.28/x
  3. Step 3: Cross multiply
    9,476.76x = 13,078.18 × 5,285.28
  4. Step 4: Simplify right side
    9,476.76x = 69,121,843.19
  5. Step 5: Solve for x
    x = 69,121,843.19/9,476.76
  6. Step 6: Final answer
    x = 7,293.83

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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.