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Finding the Fourth Proportional to 9,323.46, 13,971.08 and 5,621.54

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Solution

The fourth proportional to 9,323.46, 13,971.08 and 5,621.54 is: 8,423.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,323.46 : 13,971.08 = 5,621.54 : x
  2. Step 2: Convert to fraction form
    9,323.46/13,971.08 = 5,621.54/x
  3. Step 3: Cross multiply
    9,323.46x = 13,971.08 × 5,621.54
  4. Step 4: Simplify right side
    9,323.46x = 78,538,985.06
  5. Step 5: Solve for x
    x = 78,538,985.06/9,323.46
  6. Step 6: Final answer
    x = 8,423.80

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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.