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Finding the Fourth Proportional to 9,596.96, 13,247.52 and 7,501.76

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Solution

The fourth proportional to 9,596.96, 13,247.52 and 7,501.76 is: 10,355.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.96 : 13,247.52 = 7,501.76 : x
  2. Step 2: Convert to fraction form
    9,596.96/13,247.52 = 7,501.76/x
  3. Step 3: Cross multiply
    9,596.96x = 13,247.52 × 7,501.76
  4. Step 4: Simplify right side
    9,596.96x = 99,379,715.64
  5. Step 5: Solve for x
    x = 99,379,715.64/9,596.96
  6. Step 6: Final answer
    x = 10,355.33

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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.