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Finding the Fourth Proportional to 9,553.68, 13,184.04 and 5,574.96

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Solution

The fourth proportional to 9,553.68, 13,184.04 and 5,574.96 is: 7,693.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,553.68 : 13,184.04 = 5,574.96 : x
  2. Step 2: Convert to fraction form
    9,553.68/13,184.04 = 5,574.96/x
  3. Step 3: Cross multiply
    9,553.68x = 13,184.04 × 5,574.96
  4. Step 4: Simplify right side
    9,553.68x = 73,500,495.64
  5. Step 5: Solve for x
    x = 73,500,495.64/9,553.68
  6. Step 6: Final answer
    x = 7,693.42

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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.