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Finding the Fourth Proportional to 9,792.42, 13,513.68 and 5,316.18

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Solution

The fourth proportional to 9,792.42, 13,513.68 and 5,316.18 is: 7,336.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.42 : 13,513.68 = 5,316.18 : x
  2. Step 2: Convert to fraction form
    9,792.42/13,513.68 = 5,316.18/x
  3. Step 3: Cross multiply
    9,792.42x = 13,513.68 × 5,316.18
  4. Step 4: Simplify right side
    9,792.42x = 71,841,155.34
  5. Step 5: Solve for x
    x = 71,841,155.34/9,792.42
  6. Step 6: Final answer
    x = 7,336.40

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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.