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Finding the Fourth Proportional to 9,423, 13,004.28 and 5,231.52

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Solution

The fourth proportional to 9,423, 13,004.28 and 5,231.52 is: 7,219.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,423 : 13,004.28 = 5,231.52 : x
  2. Step 2: Convert to fraction form
    9,423/13,004.28 = 5,231.52/x
  3. Step 3: Cross multiply
    9,423x = 13,004.28 × 5,231.52
  4. Step 4: Simplify right side
    9,423x = 68,032,150.91
  5. Step 5: Solve for x
    x = 68,032,150.91/9,423
  6. Step 6: Final answer
    x = 7,219.80

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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.