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Finding the Fourth Proportional to 9,423.68, 13,004.06 and 5,231.90

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Solution

The fourth proportional to 9,423.68, 13,004.06 and 5,231.90 is: 7,219.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,423.68 : 13,004.06 = 5,231.90 : x
  2. Step 2: Convert to fraction form
    9,423.68/13,004.06 = 5,231.90/x
  3. Step 3: Cross multiply
    9,423.68x = 13,004.06 × 5,231.90
  4. Step 4: Simplify right side
    9,423.68x = 68,035,941.51
  5. Step 5: Solve for x
    x = 68,035,941.51/9,423.68
  6. Step 6: Final answer
    x = 7,219.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.