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Finding the Fourth Proportional to 9,270.06, 12,792.74 and 5,078.31

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Solution

The fourth proportional to 9,270.06, 12,792.74 and 5,078.31 is: 7,008.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,270.06 : 12,792.74 = 5,078.31 : x
  2. Step 2: Convert to fraction form
    9,270.06/12,792.74 = 5,078.31/x
  3. Step 3: Cross multiply
    9,270.06x = 12,792.74 × 5,078.31
  4. Step 4: Simplify right side
    9,270.06x = 64,965,499.47
  5. Step 5: Solve for x
    x = 64,965,499.47/9,270.06
  6. Step 6: Final answer
    x = 7,008.10

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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.