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Finding the Fourth Proportional to 9,269.84, 12,792.72 and 5,078.12

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Solution

The fourth proportional to 9,269.84, 12,792.72 and 5,078.12 is: 7,007.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,269.84 : 12,792.72 = 5,078.12 : x
  2. Step 2: Convert to fraction form
    9,269.84/12,792.72 = 5,078.12/x
  3. Step 3: Cross multiply
    9,269.84x = 12,792.72 × 5,078.12
  4. Step 4: Simplify right side
    9,269.84x = 64,962,967.29
  5. Step 5: Solve for x
    x = 64,962,967.29/9,269.84
  6. Step 6: Final answer
    x = 7,007.99

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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.