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Finding the Fourth Proportional to 9,798.28, 14,678.88 and 7,596.22

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Solution

The fourth proportional to 9,798.28, 14,678.88 and 7,596.22 is: 11,379.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798.28 : 14,678.88 = 7,596.22 : x
  2. Step 2: Convert to fraction form
    9,798.28/14,678.88 = 7,596.22/x
  3. Step 3: Cross multiply
    9,798.28x = 14,678.88 × 7,596.22
  4. Step 4: Simplify right side
    9,798.28x = 111,504,001.83
  5. Step 5: Solve for x
    x = 111,504,001.83/9,798.28
  6. Step 6: Final answer
    x = 11,379.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.