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Finding the Fourth Proportional to 9,507.52, 14,261.32 and 3,269.34

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Solution

The fourth proportional to 9,507.52, 14,261.32 and 3,269.34 is: 4,904.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,507.52 : 14,261.32 = 3,269.34 : x
  2. Step 2: Convert to fraction form
    9,507.52/14,261.32 = 3,269.34/x
  3. Step 3: Cross multiply
    9,507.52x = 14,261.32 × 3,269.34
  4. Step 4: Simplify right side
    9,507.52x = 46,625,103.93
  5. Step 5: Solve for x
    x = 46,625,103.93/9,507.52
  6. Step 6: Final answer
    x = 4,904.02

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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.