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Finding the Fourth Proportional to 9,744.84, 14,610.06 and 7,076.76

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Solution

The fourth proportional to 9,744.84, 14,610.06 and 7,076.76 is: 10,609.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744.84 : 14,610.06 = 7,076.76 : x
  2. Step 2: Convert to fraction form
    9,744.84/14,610.06 = 7,076.76/x
  3. Step 3: Cross multiply
    9,744.84x = 14,610.06 × 7,076.76
  4. Step 4: Simplify right side
    9,744.84x = 103,391,888.21
  5. Step 5: Solve for x
    x = 103,391,888.21/9,744.84
  6. Step 6: Final answer
    x = 10,609.91

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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.