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Finding the Fourth Proportional to 9,794.35, 14,673.02 and 7,592.30

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Solution

The fourth proportional to 9,794.35, 14,673.02 and 7,592.30 is: 11,374.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.35 : 14,673.02 = 7,592.30 : x
  2. Step 2: Convert to fraction form
    9,794.35/14,673.02 = 7,592.30/x
  3. Step 3: Cross multiply
    9,794.35x = 14,673.02 × 7,592.30
  4. Step 4: Simplify right side
    9,794.35x = 111,401,969.75
  5. Step 5: Solve for x
    x = 111,401,969.75/9,794.35
  6. Step 6: Final answer
    x = 11,374.11

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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.