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Finding the Fourth Proportional to 9,559.98, 13,192.92 and 5,783.22

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Solution

The fourth proportional to 9,559.98, 13,192.92 and 5,783.22 is: 7,980.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,559.98 : 13,192.92 = 5,783.22 : x
  2. Step 2: Convert to fraction form
    9,559.98/13,192.92 = 5,783.22/x
  3. Step 3: Cross multiply
    9,559.98x = 13,192.92 × 5,783.22
  4. Step 4: Simplify right side
    9,559.98x = 76,297,558.80
  5. Step 5: Solve for x
    x = 76,297,558.80/9,559.98
  6. Step 6: Final answer
    x = 7,980.93

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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.