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Finding the Fourth Proportional to 9,328.14, 13,992.30 and 5,430.06

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Solution

The fourth proportional to 9,328.14, 13,992.30 and 5,430.06 is: 8,145.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,328.14 : 13,992.30 = 5,430.06 : x
  2. Step 2: Convert to fraction form
    9,328.14/13,992.30 = 5,430.06/x
  3. Step 3: Cross multiply
    9,328.14x = 13,992.30 × 5,430.06
  4. Step 4: Simplify right side
    9,328.14x = 75,979,028.54
  5. Step 5: Solve for x
    x = 75,979,028.54/9,328.14
  6. Step 6: Final answer
    x = 8,145.14

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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.