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Finding the Fourth Proportional to 9,537.98, 13,156.98 and 7,651.67

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Solution

The fourth proportional to 9,537.98, 13,156.98 and 7,651.67 is: 10,554.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,537.98 : 13,156.98 = 7,651.67 : x
  2. Step 2: Convert to fraction form
    9,537.98/13,156.98 = 7,651.67/x
  3. Step 3: Cross multiply
    9,537.98x = 13,156.98 × 7,651.67
  4. Step 4: Simplify right side
    9,537.98x = 100,672,869.16
  5. Step 5: Solve for x
    x = 100,672,869.16/9,537.98
  6. Step 6: Final answer
    x = 10,554.95

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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.