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Finding the Fourth Proportional to 9,465.10, 14,199.63 and 3,224.62

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Solution

The fourth proportional to 9,465.10, 14,199.63 and 3,224.62 is: 4,837.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,465.10 : 14,199.63 = 3,224.62 : x
  2. Step 2: Convert to fraction form
    9,465.10/14,199.63 = 3,224.62/x
  3. Step 3: Cross multiply
    9,465.10x = 14,199.63 × 3,224.62
  4. Step 4: Simplify right side
    9,465.10x = 45,788,410.89
  5. Step 5: Solve for x
    x = 45,788,410.89/9,465.10
  6. Step 6: Final answer
    x = 4,837.60

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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.