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Finding the Fourth Proportional to 9,021.18, 12,441.16 and 5,664.30

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Solution

The fourth proportional to 9,021.18, 12,441.16 and 5,664.30 is: 7,811.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,021.18 : 12,441.16 = 5,664.30 : x
  2. Step 2: Convert to fraction form
    9,021.18/12,441.16 = 5,664.30/x
  3. Step 3: Cross multiply
    9,021.18x = 12,441.16 × 5,664.30
  4. Step 4: Simplify right side
    9,021.18x = 70,470,462.59
  5. Step 5: Solve for x
    x = 70,470,462.59/9,021.18
  6. Step 6: Final answer
    x = 7,811.67

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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.