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Finding the Fourth Proportional to 9,824, 13,555.68 and 5,788.48

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Solution

The fourth proportional to 9,824, 13,555.68 and 5,788.48 is: 7,987.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,824 : 13,555.68 = 5,788.48 : x
  2. Step 2: Convert to fraction form
    9,824/13,555.68 = 5,788.48/x
  3. Step 3: Cross multiply
    9,824x = 13,555.68 × 5,788.48
  4. Step 4: Simplify right side
    9,824x = 78,466,782.57
  5. Step 5: Solve for x
    x = 78,466,782.57/9,824
  6. Step 6: Final answer
    x = 7,987.25

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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.