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Finding the Fourth Proportional to 9,775.70, 14,662.92 and 4,225.13

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Solution

The fourth proportional to 9,775.70, 14,662.92 and 4,225.13 is: 6,337.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.70 : 14,662.92 = 4,225.13 : x
  2. Step 2: Convert to fraction form
    9,775.70/14,662.92 = 4,225.13/x
  3. Step 3: Cross multiply
    9,775.70x = 14,662.92 × 4,225.13
  4. Step 4: Simplify right side
    9,775.70x = 61,952,743.18
  5. Step 5: Solve for x
    x = 61,952,743.18/9,775.70
  6. Step 6: Final answer
    x = 6,337.42

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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.