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Finding the Fourth Proportional to 9,792.66, 13,513.50 and 5,316.31

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Solution

The fourth proportional to 9,792.66, 13,513.50 and 5,316.31 is: 7,336.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.66 : 13,513.50 = 5,316.31 : x
  2. Step 2: Convert to fraction form
    9,792.66/13,513.50 = 5,316.31/x
  3. Step 3: Cross multiply
    9,792.66x = 13,513.50 × 5,316.31
  4. Step 4: Simplify right side
    9,792.66x = 71,841,955.19
  5. Step 5: Solve for x
    x = 71,841,955.19/9,792.66
  6. Step 6: Final answer
    x = 7,336.31

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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.