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Finding the Fourth Proportional to 9,323.10, 13,975.74 and 3,478.14

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Solution

The fourth proportional to 9,323.10, 13,975.74 and 3,478.14 is: 5,213.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,323.10 : 13,975.74 = 3,478.14 : x
  2. Step 2: Convert to fraction form
    9,323.10/13,975.74 = 3,478.14/x
  3. Step 3: Cross multiply
    9,323.10x = 13,975.74 × 3,478.14
  4. Step 4: Simplify right side
    9,323.10x = 48,609,580.32
  5. Step 5: Solve for x
    x = 48,609,580.32/9,323.10
  6. Step 6: Final answer
    x = 5,213.89

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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.