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Finding the Fourth Proportional to 9,270.13, 12,792.78 and 5,078.38

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Solution

The fourth proportional to 9,270.13, 12,792.78 and 5,078.38 is: 7,008.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,270.13 : 12,792.78 = 5,078.38 : x
  2. Step 2: Convert to fraction form
    9,270.13/12,792.78 = 5,078.38/x
  3. Step 3: Cross multiply
    9,270.13x = 12,792.78 × 5,078.38
  4. Step 4: Simplify right side
    9,270.13x = 64,966,598.10
  5. Step 5: Solve for x
    x = 64,966,598.10/9,270.13
  6. Step 6: Final answer
    x = 7,008.16

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Why These Related Problems?

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