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Finding the Fourth Proportional to 9,420.72, 13,002.92 and 5,444.16

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Solution

The fourth proportional to 9,420.72, 13,002.92 and 5,444.16 is: 7,514.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,420.72 : 13,002.92 = 5,444.16 : x
  2. Step 2: Convert to fraction form
    9,420.72/13,002.92 = 5,444.16/x
  3. Step 3: Cross multiply
    9,420.72x = 13,002.92 × 5,444.16
  4. Step 4: Simplify right side
    9,420.72x = 70,789,949.73
  5. Step 5: Solve for x
    x = 70,789,949.73/9,420.72
  6. Step 6: Final answer
    x = 7,514.28

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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.