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Finding the Fourth Proportional to 9,003.96, 13,505.94 and 2,430.14

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Solution

The fourth proportional to 9,003.96, 13,505.94 and 2,430.14 is: 3,645.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,003.96 : 13,505.94 = 2,430.14 : x
  2. Step 2: Convert to fraction form
    9,003.96/13,505.94 = 2,430.14/x
  3. Step 3: Cross multiply
    9,003.96x = 13,505.94 × 2,430.14
  4. Step 4: Simplify right side
    9,003.96x = 32,821,312.88
  5. Step 5: Solve for x
    x = 32,821,312.88/9,003.96
  6. Step 6: Final answer
    x = 3,645.21

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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.