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Finding the Fourth Proportional to 9,420.76, 13,005.12 and 5,889.16

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Solution

The fourth proportional to 9,420.76, 13,005.12 and 5,889.16 is: 8,129.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,420.76 : 13,005.12 = 5,889.16 : x
  2. Step 2: Convert to fraction form
    9,420.76/13,005.12 = 5,889.16/x
  3. Step 3: Cross multiply
    9,420.76x = 13,005.12 × 5,889.16
  4. Step 4: Simplify right side
    9,420.76x = 76,589,232.50
  5. Step 5: Solve for x
    x = 76,589,232.50/9,420.76
  6. Step 6: Final answer
    x = 8,129.84

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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.