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Finding the Fourth Proportional to 9,809.26, 13,533.33 and 5,559.82

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Solution

The fourth proportional to 9,809.26, 13,533.33 and 5,559.82 is: 7,670.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.26 : 13,533.33 = 5,559.82 : x
  2. Step 2: Convert to fraction form
    9,809.26/13,533.33 = 5,559.82/x
  3. Step 3: Cross multiply
    9,809.26x = 13,533.33 × 5,559.82
  4. Step 4: Simplify right side
    9,809.26x = 75,242,878.80
  5. Step 5: Solve for x
    x = 75,242,878.80/9,809.26
  6. Step 6: Final answer
    x = 7,670.60

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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.