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Finding the Fourth Proportional to 9,829.56, 14,751.54 and 7,371

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Solution

The fourth proportional to 9,829.56, 14,751.54 and 7,371 is: 11,061.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829.56 : 14,751.54 = 7,371 : x
  2. Step 2: Convert to fraction form
    9,829.56/14,751.54 = 7,371/x
  3. Step 3: Cross multiply
    9,829.56x = 14,751.54 × 7,371
  4. Step 4: Simplify right side
    9,829.56x = 108,733,601.34
  5. Step 5: Solve for x
    x = 108,733,601.34/9,829.56
  6. Step 6: Final answer
    x = 11,061.90

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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.