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Finding the Fourth Proportional to 9,526.65, 14,263.58 and 7,179.56

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Solution

The fourth proportional to 9,526.65, 14,263.58 and 7,179.56 is: 10,749.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,526.65 : 14,263.58 = 7,179.56 : x
  2. Step 2: Convert to fraction form
    9,526.65/14,263.58 = 7,179.56/x
  3. Step 3: Cross multiply
    9,526.65x = 14,263.58 × 7,179.56
  4. Step 4: Simplify right side
    9,526.65x = 102,406,121.21
  5. Step 5: Solve for x
    x = 102,406,121.21/9,526.65
  6. Step 6: Final answer
    x = 10,749.44

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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.