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Finding the Fourth Proportional to 9,781.26, 13,498.06 and 5,305

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Solution

The fourth proportional to 9,781.26, 13,498.06 and 5,305 is: 7,320.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.26 : 13,498.06 = 5,305 : x
  2. Step 2: Convert to fraction form
    9,781.26/13,498.06 = 5,305/x
  3. Step 3: Cross multiply
    9,781.26x = 13,498.06 × 5,305
  4. Step 4: Simplify right side
    9,781.26x = 71,607,208.30
  5. Step 5: Solve for x
    x = 71,607,208.30/9,781.26
  6. Step 6: Final answer
    x = 7,320.86

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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.