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Finding the Fourth Proportional to 10,456.56, 14,421.56 and 9,194.99

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Solution

The fourth proportional to 10,456.56, 14,421.56 and 9,194.99 is: 12,681.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,456.56 : 14,421.56 = 9,194.99 : x
  2. Step 2: Convert to fraction form
    10,456.56/14,421.56 = 9,194.99/x
  3. Step 3: Cross multiply
    10,456.56x = 14,421.56 × 9,194.99
  4. Step 4: Simplify right side
    10,456.56x = 132,605,981.90
  5. Step 5: Solve for x
    x = 132,605,981.90/10,456.56
  6. Step 6: Final answer
    x = 12,681.61

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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.