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Finding the Fourth Proportional to 9,812.61, 14,716.69 and 2,792.48

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Solution

The fourth proportional to 9,812.61, 14,716.69 and 2,792.48 is: 4,188.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.61 : 14,716.69 = 2,792.48 : x
  2. Step 2: Convert to fraction form
    9,812.61/14,716.69 = 2,792.48/x
  3. Step 3: Cross multiply
    9,812.61x = 14,716.69 × 2,792.48
  4. Step 4: Simplify right side
    9,812.61x = 41,095,981.93
  5. Step 5: Solve for x
    x = 41,095,981.93/9,812.61
  6. Step 6: Final answer
    x = 4,188.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.