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Finding the Fourth Proportional to 9,454.35, 13,048.25 and 5,422.76

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Solution

The fourth proportional to 9,454.35, 13,048.25 and 5,422.76 is: 7,484.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,454.35 : 13,048.25 = 5,422.76 : x
  2. Step 2: Convert to fraction form
    9,454.35/13,048.25 = 5,422.76/x
  3. Step 3: Cross multiply
    9,454.35x = 13,048.25 × 5,422.76
  4. Step 4: Simplify right side
    9,454.35x = 70,757,435.81
  5. Step 5: Solve for x
    x = 70,757,435.81/9,454.35
  6. Step 6: Final answer
    x = 7,484.11

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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.