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Finding the Fourth Proportional to 9,526.16, 14,262.83 and 7,179.06

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Solution

The fourth proportional to 9,526.16, 14,262.83 and 7,179.06 is: 10,748.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,526.16 : 14,262.83 = 7,179.06 : x
  2. Step 2: Convert to fraction form
    9,526.16/14,262.83 = 7,179.06/x
  3. Step 3: Cross multiply
    9,526.16x = 14,262.83 × 7,179.06
  4. Step 4: Simplify right side
    9,526.16x = 102,393,658.97
  5. Step 5: Solve for x
    x = 102,393,658.97/9,526.16
  6. Step 6: Final answer
    x = 10,748.68

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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.