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Finding the Fourth Proportional to 9,002.70, 13,480.94 and 6,225.54

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Solution

The fourth proportional to 9,002.70, 13,480.94 and 6,225.54 is: 9,322.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,002.70 : 13,480.94 = 6,225.54 : x
  2. Step 2: Convert to fraction form
    9,002.70/13,480.94 = 6,225.54/x
  3. Step 3: Cross multiply
    9,002.70x = 13,480.94 × 6,225.54
  4. Step 4: Simplify right side
    9,002.70x = 83,926,131.21
  5. Step 5: Solve for x
    x = 83,926,131.21/9,002.70
  6. Step 6: Final answer
    x = 9,322.33

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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.