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Finding the Fourth Proportional to 9,494.88, 13,103.14 and 5,303.12

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Solution

The fourth proportional to 9,494.88, 13,103.14 and 5,303.12 is: 7,318.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.88 : 13,103.14 = 5,303.12 : x
  2. Step 2: Convert to fraction form
    9,494.88/13,103.14 = 5,303.12/x
  3. Step 3: Cross multiply
    9,494.88x = 13,103.14 × 5,303.12
  4. Step 4: Simplify right side
    9,494.88x = 69,487,523.80
  5. Step 5: Solve for x
    x = 69,487,523.80/9,494.88
  6. Step 6: Final answer
    x = 7,318.42

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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.