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Finding the Fourth Proportional to 9,423.42, 13,001.14 and 5,443.08

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Solution

The fourth proportional to 9,423.42, 13,001.14 and 5,443.08 is: 7,509.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,423.42 : 13,001.14 = 5,443.08 : x
  2. Step 2: Convert to fraction form
    9,423.42/13,001.14 = 5,443.08/x
  3. Step 3: Cross multiply
    9,423.42x = 13,001.14 × 5,443.08
  4. Step 4: Simplify right side
    9,423.42x = 70,766,245.11
  5. Step 5: Solve for x
    x = 70,766,245.11/9,423.42
  6. Step 6: Final answer
    x = 7,509.61

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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.