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Finding the Fourth Proportional to 9,682.52, 13,362.60 and 5,434.08

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Solution

The fourth proportional to 9,682.52, 13,362.60 and 5,434.08 is: 7,499.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.52 : 13,362.60 = 5,434.08 : x
  2. Step 2: Convert to fraction form
    9,682.52/13,362.60 = 5,434.08/x
  3. Step 3: Cross multiply
    9,682.52x = 13,362.60 × 5,434.08
  4. Step 4: Simplify right side
    9,682.52x = 72,613,437.41
  5. Step 5: Solve for x
    x = 72,613,437.41/9,682.52
  6. Step 6: Final answer
    x = 7,499.44

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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.