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Finding the Fourth Proportional to 9,475.96, 13,048.14 and 7,480.12

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Solution

The fourth proportional to 9,475.96, 13,048.14 and 7,480.12 is: 10,299.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,475.96 : 13,048.14 = 7,480.12 : x
  2. Step 2: Convert to fraction form
    9,475.96/13,048.14 = 7,480.12/x
  3. Step 3: Cross multiply
    9,475.96x = 13,048.14 × 7,480.12
  4. Step 4: Simplify right side
    9,475.96x = 97,601,652.98
  5. Step 5: Solve for x
    x = 97,601,652.98/9,475.96
  6. Step 6: Final answer
    x = 10,299.92

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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.