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Finding the Fourth Proportional to 9,379.92, 12,945.28 and 5,402.08

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Solution

The fourth proportional to 9,379.92, 12,945.28 and 5,402.08 is: 7,455.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,379.92 : 12,945.28 = 5,402.08 : x
  2. Step 2: Convert to fraction form
    9,379.92/12,945.28 = 5,402.08/x
  3. Step 3: Cross multiply
    9,379.92x = 12,945.28 × 5,402.08
  4. Step 4: Simplify right side
    9,379.92x = 69,931,438.18
  5. Step 5: Solve for x
    x = 69,931,438.18/9,379.92
  6. Step 6: Final answer
    x = 7,455.44

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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.