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Finding the Fourth Proportional to 9,510.79, 14,267.91 and 3,269.20

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Solution

The fourth proportional to 9,510.79, 14,267.91 and 3,269.20 is: 4,904.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,510.79 : 14,267.91 = 3,269.20 : x
  2. Step 2: Convert to fraction form
    9,510.79/14,267.91 = 3,269.20/x
  3. Step 3: Cross multiply
    9,510.79x = 14,267.91 × 3,269.20
  4. Step 4: Simplify right side
    9,510.79x = 46,644,651.37
  5. Step 5: Solve for x
    x = 46,644,651.37/9,510.79
  6. Step 6: Final answer
    x = 4,904.39

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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.