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Finding the Fourth Proportional to 9,472.20, 14,214.70 and 5,312.20

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Solution

The fourth proportional to 9,472.20, 14,214.70 and 5,312.20 is: 7,971.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.20 : 14,214.70 = 5,312.20 : x
  2. Step 2: Convert to fraction form
    9,472.20/14,214.70 = 5,312.20/x
  3. Step 3: Cross multiply
    9,472.20x = 14,214.70 × 5,312.20
  4. Step 4: Simplify right side
    9,472.20x = 75,511,329.34
  5. Step 5: Solve for x
    x = 75,511,329.34/9,472.20
  6. Step 6: Final answer
    x = 7,971.89

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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.