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Finding the Fourth Proportional to 9,423.14, 13,004.01 and 5,445.50

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Solution

The fourth proportional to 9,423.14, 13,004.01 and 5,445.50 is: 7,514.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,423.14 : 13,004.01 = 5,445.50 : x
  2. Step 2: Convert to fraction form
    9,423.14/13,004.01 = 5,445.50/x
  3. Step 3: Cross multiply
    9,423.14x = 13,004.01 × 5,445.50
  4. Step 4: Simplify right side
    9,423.14x = 70,813,271.43
  5. Step 5: Solve for x
    x = 70,813,271.43/9,423.14
  6. Step 6: Final answer
    x = 7,514.83

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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.