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Finding the Fourth Proportional to 9,723.40, 14,613.90 and 8,456.20

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Solution

The fourth proportional to 9,723.40, 14,613.90 and 8,456.20 is: 12,709.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,723.40 : 14,613.90 = 8,456.20 : x
  2. Step 2: Convert to fraction form
    9,723.40/14,613.90 = 8,456.20/x
  3. Step 3: Cross multiply
    9,723.40x = 14,613.90 × 8,456.20
  4. Step 4: Simplify right side
    9,723.40x = 123,578,061.18
  5. Step 5: Solve for x
    x = 123,578,061.18/9,723.40
  6. Step 6: Final answer
    x = 12,709.35

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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.