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Finding the Fourth Proportional to 9,357.78, 14,046.70 and 8,324.40

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Solution

The fourth proportional to 9,357.78, 14,046.70 and 8,324.40 is: 12,495.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.78 : 14,046.70 = 8,324.40 : x
  2. Step 2: Convert to fraction form
    9,357.78/14,046.70 = 8,324.40/x
  3. Step 3: Cross multiply
    9,357.78x = 14,046.70 × 8,324.40
  4. Step 4: Simplify right side
    9,357.78x = 116,930,349.48
  5. Step 5: Solve for x
    x = 116,930,349.48/9,357.78
  6. Step 6: Final answer
    x = 12,495.52

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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.