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Finding the Fourth Proportional to 9,698.04, 13,382.28 and 5,505.48

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Solution

The fourth proportional to 9,698.04, 13,382.28 and 5,505.48 is: 7,596.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.04 : 13,382.28 = 5,505.48 : x
  2. Step 2: Convert to fraction form
    9,698.04/13,382.28 = 5,505.48/x
  3. Step 3: Cross multiply
    9,698.04x = 13,382.28 × 5,505.48
  4. Step 4: Simplify right side
    9,698.04x = 73,675,874.89
  5. Step 5: Solve for x
    x = 73,675,874.89/9,698.04
  6. Step 6: Final answer
    x = 7,596.99

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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.