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Finding the Fourth Proportional to 9,454.95, 13,046.67 and 5,475.24

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Solution

The fourth proportional to 9,454.95, 13,046.67 and 5,475.24 is: 7,555.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,454.95 : 13,046.67 = 5,475.24 : x
  2. Step 2: Convert to fraction form
    9,454.95/13,046.67 = 5,475.24/x
  3. Step 3: Cross multiply
    9,454.95x = 13,046.67 × 5,475.24
  4. Step 4: Simplify right side
    9,454.95x = 71,433,649.45
  5. Step 5: Solve for x
    x = 71,433,649.45/9,454.95
  6. Step 6: Final answer
    x = 7,555.16

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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.