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Finding the Fourth Proportional to 9,905.24, 14,850.78 and 4,637.37

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Solution

The fourth proportional to 9,905.24, 14,850.78 and 4,637.37 is: 6,952.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,905.24 : 14,850.78 = 4,637.37 : x
  2. Step 2: Convert to fraction form
    9,905.24/14,850.78 = 4,637.37/x
  3. Step 3: Cross multiply
    9,905.24x = 14,850.78 × 4,637.37
  4. Step 4: Simplify right side
    9,905.24x = 68,868,561.65
  5. Step 5: Solve for x
    x = 68,868,561.65/9,905.24
  6. Step 6: Final answer
    x = 6,952.74

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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.