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Finding the Fourth Proportional to 9,781.76, 13,498.75 and 5,305.50

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Solution

The fourth proportional to 9,781.76, 13,498.75 and 5,305.50 is: 7,321.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.76 : 13,498.75 = 5,305.50 : x
  2. Step 2: Convert to fraction form
    9,781.76/13,498.75 = 5,305.50/x
  3. Step 3: Cross multiply
    9,781.76x = 13,498.75 × 5,305.50
  4. Step 4: Simplify right side
    9,781.76x = 71,617,618.13
  5. Step 5: Solve for x
    x = 71,617,618.13/9,781.76
  6. Step 6: Final answer
    x = 7,321.55

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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.