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Finding the Fourth Proportional to 9,502.64, 13,113.44 and 5,253.52

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Solution

The fourth proportional to 9,502.64, 13,113.44 and 5,253.52 is: 7,249.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.64 : 13,113.44 = 5,253.52 : x
  2. Step 2: Convert to fraction form
    9,502.64/13,113.44 = 5,253.52/x
  3. Step 3: Cross multiply
    9,502.64x = 13,113.44 × 5,253.52
  4. Step 4: Simplify right side
    9,502.64x = 68,891,719.31
  5. Step 5: Solve for x
    x = 68,891,719.31/9,502.64
  6. Step 6: Final answer
    x = 7,249.75

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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.