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Finding the Fourth Proportional to 9,986.48, 14,981.64 and 3,830

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Solution

The fourth proportional to 9,986.48, 14,981.64 and 3,830 is: 5,745.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,986.48 : 14,981.64 = 3,830 : x
  2. Step 2: Convert to fraction form
    9,986.48/14,981.64 = 3,830/x
  3. Step 3: Cross multiply
    9,986.48x = 14,981.64 × 3,830
  4. Step 4: Simplify right side
    9,986.48x = 57,379,681.20
  5. Step 5: Solve for x
    x = 57,379,681.20/9,986.48
  6. Step 6: Final answer
    x = 5,745.74

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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.