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Finding the Fourth Proportional to 9,792.41, 13,513.15 and 5,316.06

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Solution

The fourth proportional to 9,792.41, 13,513.15 and 5,316.06 is: 7,335.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.41 : 13,513.15 = 5,316.06 : x
  2. Step 2: Convert to fraction form
    9,792.41/13,513.15 = 5,316.06/x
  3. Step 3: Cross multiply
    9,792.41x = 13,513.15 × 5,316.06
  4. Step 4: Simplify right side
    9,792.41x = 71,836,689.61
  5. Step 5: Solve for x
    x = 71,836,689.61/9,792.41
  6. Step 6: Final answer
    x = 7,335.96

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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.