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Finding the Fourth Proportional to 9,142.44, 13,709.33 and 4,210.62

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Solution

The fourth proportional to 9,142.44, 13,709.33 and 4,210.62 is: 6,313.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.44 : 13,709.33 = 4,210.62 : x
  2. Step 2: Convert to fraction form
    9,142.44/13,709.33 = 4,210.62/x
  3. Step 3: Cross multiply
    9,142.44x = 13,709.33 × 4,210.62
  4. Step 4: Simplify right side
    9,142.44x = 57,724,779.08
  5. Step 5: Solve for x
    x = 57,724,779.08/9,142.44
  6. Step 6: Final answer
    x = 6,313.94

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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.