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Finding the Fourth Proportional to 9,486, 13,090.68 and 5,294.25

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Solution

The fourth proportional to 9,486, 13,090.68 and 5,294.25 is: 7,306.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486 : 13,090.68 = 5,294.25 : x
  2. Step 2: Convert to fraction form
    9,486/13,090.68 = 5,294.25/x
  3. Step 3: Cross multiply
    9,486x = 13,090.68 × 5,294.25
  4. Step 4: Simplify right side
    9,486x = 69,305,332.59
  5. Step 5: Solve for x
    x = 69,305,332.59/9,486
  6. Step 6: Final answer
    x = 7,306.07

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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.