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Finding the Fourth Proportional to 9,613.49, 14,420.57 and 4,932.23

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Solution

The fourth proportional to 9,613.49, 14,420.57 and 4,932.23 is: 7,398.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,613.49 : 14,420.57 = 4,932.23 : x
  2. Step 2: Convert to fraction form
    9,613.49/14,420.57 = 4,932.23/x
  3. Step 3: Cross multiply
    9,613.49x = 14,420.57 × 4,932.23
  4. Step 4: Simplify right side
    9,613.49x = 71,125,471.21
  5. Step 5: Solve for x
    x = 71,125,471.21/9,613.49
  6. Step 6: Final answer
    x = 7,398.51

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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.